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Finding the Fourth Proportional to 10,758, 14,846.04 and 6,042.18

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Solution

The fourth proportional to 10,758, 14,846.04 and 6,042.18 is: 8,338.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,758 : 14,846.04 = 6,042.18 : x
  2. Step 2: Convert to fraction form
    10,758/14,846.04 = 6,042.18/x
  3. Step 3: Cross multiply
    10,758x = 14,846.04 × 6,042.18
  4. Step 4: Simplify right side
    10,758x = 89,702,445.97
  5. Step 5: Solve for x
    x = 89,702,445.97/10,758
  6. Step 6: Final answer
    x = 8,338.21

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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.