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Finding the Fourth Proportional to 5,101.57, 7,645.47 and 3,865.11

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Solution

The fourth proportional to 5,101.57, 7,645.47 and 3,865.11 is: 5,792.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.57 : 7,645.47 = 3,865.11 : x
  2. Step 2: Convert to fraction form
    5,101.57/7,645.47 = 3,865.11/x
  3. Step 3: Cross multiply
    5,101.57x = 7,645.47 × 3,865.11
  4. Step 4: Simplify right side
    5,101.57x = 29,550,582.55
  5. Step 5: Solve for x
    x = 29,550,582.55/5,101.57
  6. Step 6: Final answer
    x = 5,792.45

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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.