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Finding the Fourth Proportional to 6,467.61, 9,701.21 and 1,787.90

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Solution

The fourth proportional to 6,467.61, 9,701.21 and 1,787.90 is: 2,681.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.61 : 9,701.21 = 1,787.90 : x
  2. Step 2: Convert to fraction form
    6,467.61/9,701.21 = 1,787.90/x
  3. Step 3: Cross multiply
    6,467.61x = 9,701.21 × 1,787.90
  4. Step 4: Simplify right side
    6,467.61x = 17,344,764.64
  5. Step 5: Solve for x
    x = 17,344,764.64/6,467.61
  6. Step 6: Final answer
    x = 2,681.79

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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.