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Finding the Fourth Proportional to 8,643.48, 12,978.16 and 4,949.88

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Solution

The fourth proportional to 8,643.48, 12,978.16 and 4,949.88 is: 7,432.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.48 : 12,978.16 = 4,949.88 : x
  2. Step 2: Convert to fraction form
    8,643.48/12,978.16 = 4,949.88/x
  3. Step 3: Cross multiply
    8,643.48x = 12,978.16 × 4,949.88
  4. Step 4: Simplify right side
    8,643.48x = 64,240,334.62
  5. Step 5: Solve for x
    x = 64,240,334.62/8,643.48
  6. Step 6: Final answer
    x = 7,432.23

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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.