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Finding the Fourth Proportional to 9,156, 12,635.16 and 4,964.40

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Solution

The fourth proportional to 9,156, 12,635.16 and 4,964.40 is: 6,850.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156 : 12,635.16 = 4,964.40 : x
  2. Step 2: Convert to fraction form
    9,156/12,635.16 = 4,964.40/x
  3. Step 3: Cross multiply
    9,156x = 12,635.16 × 4,964.40
  4. Step 4: Simplify right side
    9,156x = 62,725,988.30
  5. Step 5: Solve for x
    x = 62,725,988.30/9,156
  6. Step 6: Final answer
    x = 6,850.81

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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.