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Finding the Fourth Proportional to 9,933.31, 13,708.05 and 5,457.11

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Solution

The fourth proportional to 9,933.31, 13,708.05 and 5,457.11 is: 7,530.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,933.31 : 13,708.05 = 5,457.11 : x
  2. Step 2: Convert to fraction form
    9,933.31/13,708.05 = 5,457.11/x
  3. Step 3: Cross multiply
    9,933.31x = 13,708.05 × 5,457.11
  4. Step 4: Simplify right side
    9,933.31x = 74,806,336.74
  5. Step 5: Solve for x
    x = 74,806,336.74/9,933.31
  6. Step 6: Final answer
    x = 7,530.86

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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.