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Finding the Fourth Proportional to 10,728.90, 14,806.80 and 6,013.17

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Solution

The fourth proportional to 10,728.90, 14,806.80 and 6,013.17 is: 8,298.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.90 : 14,806.80 = 6,013.17 : x
  2. Step 2: Convert to fraction form
    10,728.90/14,806.80 = 6,013.17/x
  3. Step 3: Cross multiply
    10,728.90x = 14,806.80 × 6,013.17
  4. Step 4: Simplify right side
    10,728.90x = 89,035,805.56
  5. Step 5: Solve for x
    x = 89,035,805.56/10,728.90
  6. Step 6: Final answer
    x = 8,298.69

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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.