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Finding the Fourth Proportional to 6,689.66, 10,042.20 and 3,918.32

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Solution

The fourth proportional to 6,689.66, 10,042.20 and 3,918.32 is: 5,882.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.66 : 10,042.20 = 3,918.32 : x
  2. Step 2: Convert to fraction form
    6,689.66/10,042.20 = 3,918.32/x
  3. Step 3: Cross multiply
    6,689.66x = 10,042.20 × 3,918.32
  4. Step 4: Simplify right side
    6,689.66x = 39,348,553.10
  5. Step 5: Solve for x
    x = 39,348,553.10/6,689.66
  6. Step 6: Final answer
    x = 5,882.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.