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Finding the Fourth Proportional to 5,720.78, 8,581.63 and 1,561.13

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Solution

The fourth proportional to 5,720.78, 8,581.63 and 1,561.13 is: 2,341.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.78 : 8,581.63 = 1,561.13 : x
  2. Step 2: Convert to fraction form
    5,720.78/8,581.63 = 1,561.13/x
  3. Step 3: Cross multiply
    5,720.78x = 8,581.63 × 1,561.13
  4. Step 4: Simplify right side
    5,720.78x = 13,397,040.04
  5. Step 5: Solve for x
    x = 13,397,040.04/5,720.78
  6. Step 6: Final answer
    x = 2,341.82

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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.