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Finding the Fourth Proportional to 11,332, 16,979.04 and 8,029.12

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Solution

The fourth proportional to 11,332, 16,979.04 and 8,029.12 is: 12,030.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,332 : 16,979.04 = 8,029.12 : x
  2. Step 2: Convert to fraction form
    11,332/16,979.04 = 8,029.12/x
  3. Step 3: Cross multiply
    11,332x = 16,979.04 × 8,029.12
  4. Step 4: Simplify right side
    11,332x = 136,326,749.64
  5. Step 5: Solve for x
    x = 136,326,749.64/11,332
  6. Step 6: Final answer
    x = 12,030.25

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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.