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Finding the Fourth Proportional to 12,834.58, 17,702.13 and 8,642.02

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Solution

The fourth proportional to 12,834.58, 17,702.13 and 8,642.02 is: 11,919.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,834.58 : 17,702.13 = 8,642.02 : x
  2. Step 2: Convert to fraction form
    12,834.58/17,702.13 = 8,642.02/x
  3. Step 3: Cross multiply
    12,834.58x = 17,702.13 × 8,642.02
  4. Step 4: Simplify right side
    12,834.58x = 152,982,161.50
  5. Step 5: Solve for x
    x = 152,982,161.50/12,834.58
  6. Step 6: Final answer
    x = 11,919.53

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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.