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Finding the Fourth Proportional to 14,498, 20,007.32 and 7,874

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Solution

The fourth proportional to 14,498, 20,007.32 and 7,874 is: 10,866.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,498 : 20,007.32 = 7,874 : x
  2. Step 2: Convert to fraction form
    14,498/20,007.32 = 7,874/x
  3. Step 3: Cross multiply
    14,498x = 20,007.32 × 7,874
  4. Step 4: Simplify right side
    14,498x = 157,537,637.68
  5. Step 5: Solve for x
    x = 157,537,637.68/14,498
  6. Step 6: Final answer
    x = 10,866.16

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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.