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Finding the Fourth Proportional to 8,159.64, 12,230.88 and 3,780

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Solution

The fourth proportional to 8,159.64, 12,230.88 and 3,780 is: 5,666.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.64 : 12,230.88 = 3,780 : x
  2. Step 2: Convert to fraction form
    8,159.64/12,230.88 = 3,780/x
  3. Step 3: Cross multiply
    8,159.64x = 12,230.88 × 3,780
  4. Step 4: Simplify right side
    8,159.64x = 46,232,726.40
  5. Step 5: Solve for x
    x = 46,232,726.40/8,159.64
  6. Step 6: Final answer
    x = 5,666.03

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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.