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Finding the Fourth Proportional to 8,355.32, 12,529.20 and 3,978.08

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Solution

The fourth proportional to 8,355.32, 12,529.20 and 3,978.08 is: 5,965.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,355.32 : 12,529.20 = 3,978.08 : x
  2. Step 2: Convert to fraction form
    8,355.32/12,529.20 = 3,978.08/x
  3. Step 3: Cross multiply
    8,355.32x = 12,529.20 × 3,978.08
  4. Step 4: Simplify right side
    8,355.32x = 49,842,159.94
  5. Step 5: Solve for x
    x = 49,842,159.94/8,355.32
  6. Step 6: Final answer
    x = 5,965.32

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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.