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Finding the Fourth Proportional to 25,499, 35,191.92 and 14,321

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Solution

The fourth proportional to 25,499, 35,191.92 and 14,321 is: 19,764.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,499 : 35,191.92 = 14,321 : x
  2. Step 2: Convert to fraction form
    25,499/35,191.92 = 14,321/x
  3. Step 3: Cross multiply
    25,499x = 35,191.92 × 14,321
  4. Step 4: Simplify right side
    25,499x = 503,983,486.32
  5. Step 5: Solve for x
    x = 503,983,486.32/25,499
  6. Step 6: Final answer
    x = 19,764.83

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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.