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Finding the Fourth Proportional to 15,917.46, 21,957.87 and 9,538.98

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Solution

The fourth proportional to 15,917.46, 21,957.87 and 9,538.98 is: 13,158.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,917.46 : 21,957.87 = 9,538.98 : x
  2. Step 2: Convert to fraction form
    15,917.46/21,957.87 = 9,538.98/x
  3. Step 3: Cross multiply
    15,917.46x = 21,957.87 × 9,538.98
  4. Step 4: Simplify right side
    15,917.46x = 209,455,682.77
  5. Step 5: Solve for x
    x = 209,455,682.77/15,917.46
  6. Step 6: Final answer
    x = 13,158.86

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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.