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Finding the Fourth Proportional to 10,497.56, 15,737.40 and 4,650.98

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Solution

The fourth proportional to 10,497.56, 15,737.40 and 4,650.98 is: 6,972.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.56 : 15,737.40 = 4,650.98 : x
  2. Step 2: Convert to fraction form
    10,497.56/15,737.40 = 4,650.98/x
  3. Step 3: Cross multiply
    10,497.56x = 15,737.40 × 4,650.98
  4. Step 4: Simplify right side
    10,497.56x = 73,194,253.97
  5. Step 5: Solve for x
    x = 73,194,253.97/10,497.56
  6. Step 6: Final answer
    x = 6,972.50

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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.