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Finding the Fourth Proportional to 14,892, 20,589.36 and 14,239.20

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Solution

The fourth proportional to 14,892, 20,589.36 and 14,239.20 is: 19,686.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,892 : 20,589.36 = 14,239.20 : x
  2. Step 2: Convert to fraction form
    14,892/20,589.36 = 14,239.20/x
  3. Step 3: Cross multiply
    14,892x = 20,589.36 × 14,239.20
  4. Step 4: Simplify right side
    14,892x = 293,176,014.91
  5. Step 5: Solve for x
    x = 293,176,014.91/14,892
  6. Step 6: Final answer
    x = 19,686.81

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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.