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Finding the Fourth Proportional to 3,712.93, 5,564.53 and 1,520.46

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Solution

The fourth proportional to 3,712.93, 5,564.53 and 1,520.46 is: 2,278.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.93 : 5,564.53 = 1,520.46 : x
  2. Step 2: Convert to fraction form
    3,712.93/5,564.53 = 1,520.46/x
  3. Step 3: Cross multiply
    3,712.93x = 5,564.53 × 1,520.46
  4. Step 4: Simplify right side
    3,712.93x = 8,460,645.28
  5. Step 5: Solve for x
    x = 8,460,645.28/3,712.93
  6. Step 6: Final answer
    x = 2,278.70

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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.