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Finding the Fourth Proportional to 3,913.16, 5,869.77 and 991.47

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Solution

The fourth proportional to 3,913.16, 5,869.77 and 991.47 is: 1,487.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.16 : 5,869.77 = 991.47 : x
  2. Step 2: Convert to fraction form
    3,913.16/5,869.77 = 991.47/x
  3. Step 3: Cross multiply
    3,913.16x = 5,869.77 × 991.47
  4. Step 4: Simplify right side
    3,913.16x = 5,819,719.16
  5. Step 5: Solve for x
    x = 5,819,719.16/3,913.16
  6. Step 6: Final answer
    x = 1,487.22

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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.