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Finding the Fourth Proportional to 9,737.78, 14,610.99 and 7,236.50

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Solution

The fourth proportional to 9,737.78, 14,610.99 and 7,236.50 is: 10,857.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.78 : 14,610.99 = 7,236.50 : x
  2. Step 2: Convert to fraction form
    9,737.78/14,610.99 = 7,236.50/x
  3. Step 3: Cross multiply
    9,737.78x = 14,610.99 × 7,236.50
  4. Step 4: Simplify right side
    9,737.78x = 105,732,429.14
  5. Step 5: Solve for x
    x = 105,732,429.14/9,737.78
  6. Step 6: Final answer
    x = 10,857.96

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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.