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Finding the Fourth Proportional to 27,710, 38,239.80 and 15,134.78

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Solution

The fourth proportional to 27,710, 38,239.80 and 15,134.78 is: 20,886.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,710 : 38,239.80 = 15,134.78 : x
  2. Step 2: Convert to fraction form
    27,710/38,239.80 = 15,134.78/x
  3. Step 3: Cross multiply
    27,710x = 38,239.80 × 15,134.78
  4. Step 4: Simplify right side
    27,710x = 578,750,960.24
  5. Step 5: Solve for x
    x = 578,750,960.24/27,710
  6. Step 6: Final answer
    x = 20,886.00

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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.