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Finding the Fourth Proportional to 5,640.16, 8,461.32 and 1,743.88

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Solution

The fourth proportional to 5,640.16, 8,461.32 and 1,743.88 is: 2,616.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.16 : 8,461.32 = 1,743.88 : x
  2. Step 2: Convert to fraction form
    5,640.16/8,461.32 = 1,743.88/x
  3. Step 3: Cross multiply
    5,640.16x = 8,461.32 × 1,743.88
  4. Step 4: Simplify right side
    5,640.16x = 14,755,526.72
  5. Step 5: Solve for x
    x = 14,755,526.72/5,640.16
  6. Step 6: Final answer
    x = 2,616.15

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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.