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Finding the Fourth Proportional to 8,681.17, 11,980 and 4,702.29

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Solution

The fourth proportional to 8,681.17, 11,980 and 4,702.29 is: 6,489.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681.17 : 11,980 = 4,702.29 : x
  2. Step 2: Convert to fraction form
    8,681.17/11,980 = 4,702.29/x
  3. Step 3: Cross multiply
    8,681.17x = 11,980 × 4,702.29
  4. Step 4: Simplify right side
    8,681.17x = 56,333,434.20
  5. Step 5: Solve for x
    x = 56,333,434.20/8,681.17
  6. Step 6: Final answer
    x = 6,489.15

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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.