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Finding the Fourth Proportional to 10,407.54, 15,598.20 and 6,657.90

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Solution

The fourth proportional to 10,407.54, 15,598.20 and 6,657.90 is: 9,978.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.54 : 15,598.20 = 6,657.90 : x
  2. Step 2: Convert to fraction form
    10,407.54/15,598.20 = 6,657.90/x
  3. Step 3: Cross multiply
    10,407.54x = 15,598.20 × 6,657.90
  4. Step 4: Simplify right side
    10,407.54x = 103,851,255.78
  5. Step 5: Solve for x
    x = 103,851,255.78/10,407.54
  6. Step 6: Final answer
    x = 9,978.46

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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.