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Finding the Fourth Proportional to 6,471.36, 9,708.48 and 1,854

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Solution

The fourth proportional to 6,471.36, 9,708.48 and 1,854 is: 2,781.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.36 : 9,708.48 = 1,854 : x
  2. Step 2: Convert to fraction form
    6,471.36/9,708.48 = 1,854/x
  3. Step 3: Cross multiply
    6,471.36x = 9,708.48 × 1,854
  4. Step 4: Simplify right side
    6,471.36x = 17,999,521.92
  5. Step 5: Solve for x
    x = 17,999,521.92/6,471.36
  6. Step 6: Final answer
    x = 2,781.41

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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.