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Finding the Fourth Proportional to 6,488.44, 9,732.69 and 1,871.44

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Solution

The fourth proportional to 6,488.44, 9,732.69 and 1,871.44 is: 2,807.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.44 : 9,732.69 = 1,871.44 : x
  2. Step 2: Convert to fraction form
    6,488.44/9,732.69 = 1,871.44/x
  3. Step 3: Cross multiply
    6,488.44x = 9,732.69 × 1,871.44
  4. Step 4: Simplify right side
    6,488.44x = 18,214,121.04
  5. Step 5: Solve for x
    x = 18,214,121.04/6,488.44
  6. Step 6: Final answer
    x = 2,807.17

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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.