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Finding the Fourth Proportional to 8,540.13, 12,809.96 and 4,652.13

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Solution

The fourth proportional to 8,540.13, 12,809.96 and 4,652.13 is: 6,978.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.13 : 12,809.96 = 4,652.13 : x
  2. Step 2: Convert to fraction form
    8,540.13/12,809.96 = 4,652.13/x
  3. Step 3: Cross multiply
    8,540.13x = 12,809.96 × 4,652.13
  4. Step 4: Simplify right side
    8,540.13x = 59,593,575.95
  5. Step 5: Solve for x
    x = 59,593,575.95/8,540.13
  6. Step 6: Final answer
    x = 6,978.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.