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Finding the Fourth Proportional to 5,646, 8,469.48 and 1,542

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Solution

The fourth proportional to 5,646, 8,469.48 and 1,542 is: 2,313.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646 : 8,469.48 = 1,542 : x
  2. Step 2: Convert to fraction form
    5,646/8,469.48 = 1,542/x
  3. Step 3: Cross multiply
    5,646x = 8,469.48 × 1,542
  4. Step 4: Simplify right side
    5,646x = 13,059,938.16
  5. Step 5: Solve for x
    x = 13,059,938.16/5,646
  6. Step 6: Final answer
    x = 2,313.13

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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.