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Finding the Fourth Proportional to 5,718.78, 8,572.68 and 1,820.64

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Solution

The fourth proportional to 5,718.78, 8,572.68 and 1,820.64 is: 2,729.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.78 : 8,572.68 = 1,820.64 : x
  2. Step 2: Convert to fraction form
    5,718.78/8,572.68 = 1,820.64/x
  3. Step 3: Cross multiply
    5,718.78x = 8,572.68 × 1,820.64
  4. Step 4: Simplify right side
    5,718.78x = 15,607,764.12
  5. Step 5: Solve for x
    x = 15,607,764.12/5,718.78
  6. Step 6: Final answer
    x = 2,729.21

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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.