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Finding the Fourth Proportional to 10,277.79, 15,407.46 and 8,534

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Solution

The fourth proportional to 10,277.79, 15,407.46 and 8,534 is: 12,793.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,277.79 : 15,407.46 = 8,534 : x
  2. Step 2: Convert to fraction form
    10,277.79/15,407.46 = 8,534/x
  3. Step 3: Cross multiply
    10,277.79x = 15,407.46 × 8,534
  4. Step 4: Simplify right side
    10,277.79x = 131,487,220.97
  5. Step 5: Solve for x
    x = 131,487,220.97/10,277.79
  6. Step 6: Final answer
    x = 12,793.34

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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.