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Finding the Fourth Proportional to 10,287.76, 15,352.76 and 9,180.40

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Solution

The fourth proportional to 10,287.76, 15,352.76 and 9,180.40 is: 13,700.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.76 : 15,352.76 = 9,180.40 : x
  2. Step 2: Convert to fraction form
    10,287.76/15,352.76 = 9,180.40/x
  3. Step 3: Cross multiply
    10,287.76x = 15,352.76 × 9,180.40
  4. Step 4: Simplify right side
    10,287.76x = 140,944,477.90
  5. Step 5: Solve for x
    x = 140,944,477.90/10,287.76
  6. Step 6: Final answer
    x = 13,700.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.