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Finding the Fourth Proportional to 8,488.82, 12,721.59 and 6,407.06

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Solution

The fourth proportional to 8,488.82, 12,721.59 and 6,407.06 is: 9,601.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,488.82 : 12,721.59 = 6,407.06 : x
  2. Step 2: Convert to fraction form
    8,488.82/12,721.59 = 6,407.06/x
  3. Step 3: Cross multiply
    8,488.82x = 12,721.59 × 6,407.06
  4. Step 4: Simplify right side
    8,488.82x = 81,507,990.43
  5. Step 5: Solve for x
    x = 81,507,990.43/8,488.82
  6. Step 6: Final answer
    x = 9,601.80

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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.