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Finding the Fourth Proportional to 8,702.57, 12,009.56 and 4,723.68

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Solution

The fourth proportional to 8,702.57, 12,009.56 and 4,723.68 is: 6,518.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.57 : 12,009.56 = 4,723.68 : x
  2. Step 2: Convert to fraction form
    8,702.57/12,009.56 = 4,723.68/x
  3. Step 3: Cross multiply
    8,702.57x = 12,009.56 × 4,723.68
  4. Step 4: Simplify right side
    8,702.57x = 56,729,339.80
  5. Step 5: Solve for x
    x = 56,729,339.80/8,702.57
  6. Step 6: Final answer
    x = 6,518.69

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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.