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Finding the Fourth Proportional to 5,720.76, 8,570.19 and 3,862.71

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Solution

The fourth proportional to 5,720.76, 8,570.19 and 3,862.71 is: 5,786.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.76 : 8,570.19 = 3,862.71 : x
  2. Step 2: Convert to fraction form
    5,720.76/8,570.19 = 3,862.71/x
  3. Step 3: Cross multiply
    5,720.76x = 8,570.19 × 3,862.71
  4. Step 4: Simplify right side
    5,720.76x = 33,104,158.61
  5. Step 5: Solve for x
    x = 33,104,158.61/5,720.76
  6. Step 6: Final answer
    x = 5,786.67

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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.