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Finding the Fourth Proportional to 27,641, 38,144.58 and 15,065.78

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Solution

The fourth proportional to 27,641, 38,144.58 and 15,065.78 is: 20,790.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,641 : 38,144.58 = 15,065.78 : x
  2. Step 2: Convert to fraction form
    27,641/38,144.58 = 15,065.78/x
  3. Step 3: Cross multiply
    27,641x = 38,144.58 × 15,065.78
  4. Step 4: Simplify right side
    27,641x = 574,677,850.47
  5. Step 5: Solve for x
    x = 574,677,850.47/27,641
  6. Step 6: Final answer
    x = 20,790.78

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Half scale
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Double scale
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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.