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Finding the Fourth Proportional to 29,407.50, 40,582.35 and 15,978.78

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Solution

The fourth proportional to 29,407.50, 40,582.35 and 15,978.78 is: 22,050.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,407.50 : 40,582.35 = 15,978.78 : x
  2. Step 2: Convert to fraction form
    29,407.50/40,582.35 = 15,978.78/x
  3. Step 3: Cross multiply
    29,407.50x = 40,582.35 × 15,978.78
  4. Step 4: Simplify right side
    29,407.50x = 648,456,442.53
  5. Step 5: Solve for x
    x = 648,456,442.53/29,407.50
  6. Step 6: Final answer
    x = 22,050.72

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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.