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Finding the Fourth Proportional to 6,461.64, 9,692.49 and 1,781.90

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Solution

The fourth proportional to 6,461.64, 9,692.49 and 1,781.90 is: 2,672.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.64 : 9,692.49 = 1,781.90 : x
  2. Step 2: Convert to fraction form
    6,461.64/9,692.49 = 1,781.90/x
  3. Step 3: Cross multiply
    6,461.64x = 9,692.49 × 1,781.90
  4. Step 4: Simplify right side
    6,461.64x = 17,271,042.50
  5. Step 5: Solve for x
    x = 17,271,042.50/6,461.64
  6. Step 6: Final answer
    x = 2,672.86

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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.