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Finding the Fourth Proportional to 11,309.31, 16,957.80 and 3,913.16

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Solution

The fourth proportional to 11,309.31, 16,957.80 and 3,913.16 is: 5,867.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,309.31 : 16,957.80 = 3,913.16 : x
  2. Step 2: Convert to fraction form
    11,309.31/16,957.80 = 3,913.16/x
  3. Step 3: Cross multiply
    11,309.31x = 16,957.80 × 3,913.16
  4. Step 4: Simplify right side
    11,309.31x = 66,358,499.86
  5. Step 5: Solve for x
    x = 66,358,499.86/11,309.31
  6. Step 6: Final answer
    x = 5,867.60

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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.