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Finding the Fourth Proportional to 8,978.66, 13,454.02 and 3,428.98

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Solution

The fourth proportional to 8,978.66, 13,454.02 and 3,428.98 is: 5,138.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,978.66 : 13,454.02 = 3,428.98 : x
  2. Step 2: Convert to fraction form
    8,978.66/13,454.02 = 3,428.98/x
  3. Step 3: Cross multiply
    8,978.66x = 13,454.02 × 3,428.98
  4. Step 4: Simplify right side
    8,978.66x = 46,133,481.08
  5. Step 5: Solve for x
    x = 46,133,481.08/8,978.66
  6. Step 6: Final answer
    x = 5,138.13

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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.