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Finding the Fourth Proportional to 14,957.31, 20,642 and 8,242.93

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Solution

The fourth proportional to 14,957.31, 20,642 and 8,242.93 is: 11,375.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,957.31 : 20,642 = 8,242.93 : x
  2. Step 2: Convert to fraction form
    14,957.31/20,642 = 8,242.93/x
  3. Step 3: Cross multiply
    14,957.31x = 20,642 × 8,242.93
  4. Step 4: Simplify right side
    14,957.31x = 170,150,561.06
  5. Step 5: Solve for x
    x = 170,150,561.06/14,957.31
  6. Step 6: Final answer
    x = 11,375.75

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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.