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Finding the Fourth Proportional to 15,280.20, 22,871.70 and 10,906.20

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Solution

The fourth proportional to 15,280.20, 22,871.70 and 10,906.20 is: 16,324.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,280.20 : 22,871.70 = 10,906.20 : x
  2. Step 2: Convert to fraction form
    15,280.20/22,871.70 = 10,906.20/x
  3. Step 3: Cross multiply
    15,280.20x = 22,871.70 × 10,906.20
  4. Step 4: Simplify right side
    15,280.20x = 249,443,334.54
  5. Step 5: Solve for x
    x = 249,443,334.54/15,280.20
  6. Step 6: Final answer
    x = 16,324.61

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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.