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Finding the Fourth Proportional to 13,737.86, 18,957.23 and 7,687.31

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Solution

The fourth proportional to 13,737.86, 18,957.23 and 7,687.31 is: 10,607.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,737.86 : 18,957.23 = 7,687.31 : x
  2. Step 2: Convert to fraction form
    13,737.86/18,957.23 = 7,687.31/x
  3. Step 3: Cross multiply
    13,737.86x = 18,957.23 × 7,687.31
  4. Step 4: Simplify right side
    13,737.86x = 145,729,999.36
  5. Step 5: Solve for x
    x = 145,729,999.36/13,737.86
  6. Step 6: Final answer
    x = 10,607.91

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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.