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Finding the Fourth Proportional to 5,713.28, 8,570 and 1,820.96

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Solution

The fourth proportional to 5,713.28, 8,570 and 1,820.96 is: 2,731.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.28 : 8,570 = 1,820.96 : x
  2. Step 2: Convert to fraction form
    5,713.28/8,570 = 1,820.96/x
  3. Step 3: Cross multiply
    5,713.28x = 8,570 × 1,820.96
  4. Step 4: Simplify right side
    5,713.28x = 15,605,627.20
  5. Step 5: Solve for x
    x = 15,605,627.20/5,713.28
  6. Step 6: Final answer
    x = 2,731.47

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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.