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Finding the Fourth Proportional to 9,262.76, 12,782.14 and 5,284.20

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Solution

The fourth proportional to 9,262.76, 12,782.14 and 5,284.20 is: 7,291.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.76 : 12,782.14 = 5,284.20 : x
  2. Step 2: Convert to fraction form
    9,262.76/12,782.14 = 5,284.20/x
  3. Step 3: Cross multiply
    9,262.76x = 12,782.14 × 5,284.20
  4. Step 4: Simplify right side
    9,262.76x = 67,543,384.19
  5. Step 5: Solve for x
    x = 67,543,384.19/9,262.76
  6. Step 6: Final answer
    x = 7,291.93

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Double scale
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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.