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Finding the Fourth Proportional to 7,446.76, 10,284.18 and 6,447.24

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Solution

The fourth proportional to 7,446.76, 10,284.18 and 6,447.24 is: 8,903.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.76 : 10,284.18 = 6,447.24 : x
  2. Step 2: Convert to fraction form
    7,446.76/10,284.18 = 6,447.24/x
  3. Step 3: Cross multiply
    7,446.76x = 10,284.18 × 6,447.24
  4. Step 4: Simplify right side
    7,446.76x = 66,304,576.66
  5. Step 5: Solve for x
    x = 66,304,576.66/7,446.76
  6. Step 6: Final answer
    x = 8,903.82

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Half scale
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Double scale
Find fourth proportional to 7,447.76, 10,285.56 and 6,448.24
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.