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Finding the Fourth Proportional to 14,494, 20,001.72 and 7,870

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Solution

The fourth proportional to 14,494, 20,001.72 and 7,870 is: 10,860.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,494 : 20,001.72 = 7,870 : x
  2. Step 2: Convert to fraction form
    14,494/20,001.72 = 7,870/x
  3. Step 3: Cross multiply
    14,494x = 20,001.72 × 7,870
  4. Step 4: Simplify right side
    14,494x = 157,413,536.40
  5. Step 5: Solve for x
    x = 157,413,536.40/14,494
  6. Step 6: Final answer
    x = 10,860.60

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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.