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Finding the Fourth Proportional to 5,291.87, 7,899.15 and 4,906.41

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Solution

The fourth proportional to 5,291.87, 7,899.15 and 4,906.41 is: 7,323.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.87 : 7,899.15 = 4,906.41 : x
  2. Step 2: Convert to fraction form
    5,291.87/7,899.15 = 4,906.41/x
  3. Step 3: Cross multiply
    5,291.87x = 7,899.15 × 4,906.41
  4. Step 4: Simplify right side
    5,291.87x = 38,756,457.33
  5. Step 5: Solve for x
    x = 38,756,457.33/5,291.87
  6. Step 6: Final answer
    x = 7,323.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.