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Finding the Fourth Proportional to 8,702.61, 12,000.78 and 7,447.83

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Solution

The fourth proportional to 8,702.61, 12,000.78 and 7,447.83 is: 10,270.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.61 : 12,000.78 = 7,447.83 : x
  2. Step 2: Convert to fraction form
    8,702.61/12,000.78 = 7,447.83/x
  3. Step 3: Cross multiply
    8,702.61x = 12,000.78 × 7,447.83
  4. Step 4: Simplify right side
    8,702.61x = 89,379,769.31
  5. Step 5: Solve for x
    x = 89,379,769.31/8,702.61
  6. Step 6: Final answer
    x = 10,270.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.