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Finding the Fourth Proportional to 8,702.58, 13,016.81 and 5,184.55

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Solution

The fourth proportional to 8,702.58, 13,016.81 and 5,184.55 is: 7,754.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.58 : 13,016.81 = 5,184.55 : x
  2. Step 2: Convert to fraction form
    8,702.58/13,016.81 = 5,184.55/x
  3. Step 3: Cross multiply
    8,702.58x = 13,016.81 × 5,184.55
  4. Step 4: Simplify right side
    8,702.58x = 67,486,282.70
  5. Step 5: Solve for x
    x = 67,486,282.70/8,702.58
  6. Step 6: Final answer
    x = 7,754.74

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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.