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Finding the Fourth Proportional to 8,978.34, 13,452.66 and 4,589.76

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Solution

The fourth proportional to 8,978.34, 13,452.66 and 4,589.76 is: 6,877.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,978.34 : 13,452.66 = 4,589.76 : x
  2. Step 2: Convert to fraction form
    8,978.34/13,452.66 = 4,589.76/x
  3. Step 3: Cross multiply
    8,978.34x = 13,452.66 × 4,589.76
  4. Step 4: Simplify right side
    8,978.34x = 61,744,480.76
  5. Step 5: Solve for x
    x = 61,744,480.76/8,978.34
  6. Step 6: Final answer
    x = 6,877.05

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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.