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Finding the Fourth Proportional to 8,934, 12,328.92 and 4,955.70

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Solution

The fourth proportional to 8,934, 12,328.92 and 4,955.70 is: 6,838.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,934 : 12,328.92 = 4,955.70 : x
  2. Step 2: Convert to fraction form
    8,934/12,328.92 = 4,955.70/x
  3. Step 3: Cross multiply
    8,934x = 12,328.92 × 4,955.70
  4. Step 4: Simplify right side
    8,934x = 61,098,428.84
  5. Step 5: Solve for x
    x = 61,098,428.84/8,934
  6. Step 6: Final answer
    x = 6,838.87

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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.