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Finding the Fourth Proportional to 12,165.19, 18,250.52 and 4,374

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Solution

The fourth proportional to 12,165.19, 18,250.52 and 4,374 is: 6,561.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.19 : 18,250.52 = 4,374 : x
  2. Step 2: Convert to fraction form
    12,165.19/18,250.52 = 4,374/x
  3. Step 3: Cross multiply
    12,165.19x = 18,250.52 × 4,374
  4. Step 4: Simplify right side
    12,165.19x = 79,827,752.61
  5. Step 5: Solve for x
    x = 79,827,752.61/12,165.19
  6. Step 6: Final answer
    x = 6,561.98

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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.