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Finding the Fourth Proportional to 9,374, 12,936.12 and 5,182.64

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Solution

The fourth proportional to 9,374, 12,936.12 and 5,182.64 is: 7,152.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374 : 12,936.12 = 5,182.64 : x
  2. Step 2: Convert to fraction form
    9,374/12,936.12 = 5,182.64/x
  3. Step 3: Cross multiply
    9,374x = 12,936.12 × 5,182.64
  4. Step 4: Simplify right side
    9,374x = 67,043,252.96
  5. Step 5: Solve for x
    x = 67,043,252.96/9,374
  6. Step 6: Final answer
    x = 7,152.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.