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Finding the Fourth Proportional to 9,326.95, 12,871.88 and 5,349.31

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Solution

The fourth proportional to 9,326.95, 12,871.88 and 5,349.31 is: 7,382.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,326.95 : 12,871.88 = 5,349.31 : x
  2. Step 2: Convert to fraction form
    9,326.95/12,871.88 = 5,349.31/x
  3. Step 3: Cross multiply
    9,326.95x = 12,871.88 × 5,349.31
  4. Step 4: Simplify right side
    9,326.95x = 68,855,676.40
  5. Step 5: Solve for x
    x = 68,855,676.40/9,326.95
  6. Step 6: Final answer
    x = 7,382.44

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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.