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Finding the Fourth Proportional to 21,295.78, 31,948.53 and 6,506.80

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Solution

The fourth proportional to 21,295.78, 31,948.53 and 6,506.80 is: 9,761.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,295.78 : 31,948.53 = 6,506.80 : x
  2. Step 2: Convert to fraction form
    21,295.78/31,948.53 = 6,506.80/x
  3. Step 3: Cross multiply
    21,295.78x = 31,948.53 × 6,506.80
  4. Step 4: Simplify right side
    21,295.78x = 207,882,695.00
  5. Step 5: Solve for x
    x = 207,882,695.00/21,295.78
  6. Step 6: Final answer
    x = 9,761.68

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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.