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Finding the Fourth Proportional to 21,046.65, 31,575.15 and 7,006.65

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Solution

The fourth proportional to 21,046.65, 31,575.15 and 7,006.65 is: 10,511.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,046.65 : 31,575.15 = 7,006.65 : x
  2. Step 2: Convert to fraction form
    21,046.65/31,575.15 = 7,006.65/x
  3. Step 3: Cross multiply
    21,046.65x = 31,575.15 × 7,006.65
  4. Step 4: Simplify right side
    21,046.65x = 221,236,024.75
  5. Step 5: Solve for x
    x = 221,236,024.75/21,046.65
  6. Step 6: Final answer
    x = 10,511.70

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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.