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Finding the Fourth Proportional to 27,702.70, 38,229.50 and 15,127.44

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Solution

The fourth proportional to 27,702.70, 38,229.50 and 15,127.44 is: 20,875.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,702.70 : 38,229.50 = 15,127.44 : x
  2. Step 2: Convert to fraction form
    27,702.70/38,229.50 = 15,127.44/x
  3. Step 3: Cross multiply
    27,702.70x = 38,229.50 × 15,127.44
  4. Step 4: Simplify right side
    27,702.70x = 578,314,467.48
  5. Step 5: Solve for x
    x = 578,314,467.48/27,702.70
  6. Step 6: Final answer
    x = 20,875.74

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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.