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Finding the Fourth Proportional to 6,456.66, 9,686.61 and 1,839.66

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Solution

The fourth proportional to 6,456.66, 9,686.61 and 1,839.66 is: 2,759.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.66 : 9,686.61 = 1,839.66 : x
  2. Step 2: Convert to fraction form
    6,456.66/9,686.61 = 1,839.66/x
  3. Step 3: Cross multiply
    6,456.66x = 9,686.61 × 1,839.66
  4. Step 4: Simplify right side
    6,456.66x = 17,820,032.63
  5. Step 5: Solve for x
    x = 17,820,032.63/6,456.66
  6. Step 6: Final answer
    x = 2,759.95

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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.