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Finding the Fourth Proportional to 38,925.52, 53,661 and 27,728.08

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Solution

The fourth proportional to 38,925.52, 53,661 and 27,728.08 is: 38,224.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,925.52 : 53,661 = 27,728.08 : x
  2. Step 2: Convert to fraction form
    38,925.52/53,661 = 27,728.08/x
  3. Step 3: Cross multiply
    38,925.52x = 53,661 × 27,728.08
  4. Step 4: Simplify right side
    38,925.52x = 1,487,916,500.88
  5. Step 5: Solve for x
    x = 1,487,916,500.88/38,925.52
  6. Step 6: Final answer
    x = 38,224.70

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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.