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Finding the Fourth Proportional to 6,471, 9,708.12 and 1,854

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Solution

The fourth proportional to 6,471, 9,708.12 and 1,854 is: 2,781.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471 : 9,708.12 = 1,854 : x
  2. Step 2: Convert to fraction form
    6,471/9,708.12 = 1,854/x
  3. Step 3: Cross multiply
    6,471x = 9,708.12 × 1,854
  4. Step 4: Simplify right side
    6,471x = 17,998,854.48
  5. Step 5: Solve for x
    x = 17,998,854.48/6,471
  6. Step 6: Final answer
    x = 2,781.46

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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.