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Finding the Fourth Proportional to 25,499, 38,251.74 and 7,031

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Solution

The fourth proportional to 25,499, 38,251.74 and 7,031 is: 10,547.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,499 : 38,251.74 = 7,031 : x
  2. Step 2: Convert to fraction form
    25,499/38,251.74 = 7,031/x
  3. Step 3: Cross multiply
    25,499x = 38,251.74 × 7,031
  4. Step 4: Simplify right side
    25,499x = 268,947,983.94
  5. Step 5: Solve for x
    x = 268,947,983.94/25,499
  6. Step 6: Final answer
    x = 10,547.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.