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Finding the Fourth Proportional to 6,387.94, 9,581.19 and 1,708.44

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Solution

The fourth proportional to 6,387.94, 9,581.19 and 1,708.44 is: 2,562.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387.94 : 9,581.19 = 1,708.44 : x
  2. Step 2: Convert to fraction form
    6,387.94/9,581.19 = 1,708.44/x
  3. Step 3: Cross multiply
    6,387.94x = 9,581.19 × 1,708.44
  4. Step 4: Simplify right side
    6,387.94x = 16,368,888.24
  5. Step 5: Solve for x
    x = 16,368,888.24/6,387.94
  6. Step 6: Final answer
    x = 2,562.47

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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.