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Finding the Fourth Proportional to 5,862.88, 8,091.14 and 3,847.50

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Solution

The fourth proportional to 5,862.88, 8,091.14 and 3,847.50 is: 5,309.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862.88 : 8,091.14 = 3,847.50 : x
  2. Step 2: Convert to fraction form
    5,862.88/8,091.14 = 3,847.50/x
  3. Step 3: Cross multiply
    5,862.88x = 8,091.14 × 3,847.50
  4. Step 4: Simplify right side
    5,862.88x = 31,130,663.55
  5. Step 5: Solve for x
    x = 31,130,663.55/5,862.88
  6. Step 6: Final answer
    x = 5,309.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.