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Finding the Fourth Proportional to 4,761.84, 7,142.88 and 1,299.12

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Solution

The fourth proportional to 4,761.84, 7,142.88 and 1,299.12 is: 1,948.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.84 : 7,142.88 = 1,299.12 : x
  2. Step 2: Convert to fraction form
    4,761.84/7,142.88 = 1,299.12/x
  3. Step 3: Cross multiply
    4,761.84x = 7,142.88 × 1,299.12
  4. Step 4: Simplify right side
    4,761.84x = 9,279,458.27
  5. Step 5: Solve for x
    x = 9,279,458.27/4,761.84
  6. Step 6: Final answer
    x = 1,948.71

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.