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Finding the Fourth Proportional to 27,703.76, 38,231.28 and 15,128.76

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Solution

The fourth proportional to 27,703.76, 38,231.28 and 15,128.76 is: 20,877.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,703.76 : 38,231.28 = 15,128.76 : x
  2. Step 2: Convert to fraction form
    27,703.76/38,231.28 = 15,128.76/x
  3. Step 3: Cross multiply
    27,703.76x = 38,231.28 × 15,128.76
  4. Step 4: Simplify right side
    27,703.76x = 578,391,859.61
  5. Step 5: Solve for x
    x = 578,391,859.61/27,703.76
  6. Step 6: Final answer
    x = 20,877.74

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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.