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Finding the Fourth Proportional to 27,554, 38,024.43 and 14,978.66

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Solution

The fourth proportional to 27,554, 38,024.43 and 14,978.66 is: 20,670.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,554 : 38,024.43 = 14,978.66 : x
  2. Step 2: Convert to fraction form
    27,554/38,024.43 = 14,978.66/x
  3. Step 3: Cross multiply
    27,554x = 38,024.43 × 14,978.66
  4. Step 4: Simplify right side
    27,554x = 569,555,008.66
  5. Step 5: Solve for x
    x = 569,555,008.66/27,554
  6. Step 6: Final answer
    x = 20,670.50

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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.