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Finding the Fourth Proportional to 8,978.46, 13,473.84 and 3,135.06

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Solution

The fourth proportional to 8,978.46, 13,473.84 and 3,135.06 is: 4,704.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,978.46 : 13,473.84 = 3,135.06 : x
  2. Step 2: Convert to fraction form
    8,978.46/13,473.84 = 3,135.06/x
  3. Step 3: Cross multiply
    8,978.46x = 13,473.84 × 3,135.06
  4. Step 4: Simplify right side
    8,978.46x = 42,241,296.83
  5. Step 5: Solve for x
    x = 42,241,296.83/8,978.46
  6. Step 6: Final answer
    x = 4,704.74

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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.