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Finding the Fourth Proportional to 12,154, 16,772.52 and 6,565

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Solution

The fourth proportional to 12,154, 16,772.52 and 6,565 is: 9,059.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154 : 16,772.52 = 6,565 : x
  2. Step 2: Convert to fraction form
    12,154/16,772.52 = 6,565/x
  3. Step 3: Cross multiply
    12,154x = 16,772.52 × 6,565
  4. Step 4: Simplify right side
    12,154x = 110,111,593.80
  5. Step 5: Solve for x
    x = 110,111,593.80/12,154
  6. Step 6: Final answer
    x = 9,059.70

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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.