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Finding the Fourth Proportional to 9,006.88, 12,435.20 and 5,872

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Solution

The fourth proportional to 9,006.88, 12,435.20 and 5,872 is: 8,107.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.88 : 12,435.20 = 5,872 : x
  2. Step 2: Convert to fraction form
    9,006.88/12,435.20 = 5,872/x
  3. Step 3: Cross multiply
    9,006.88x = 12,435.20 × 5,872
  4. Step 4: Simplify right side
    9,006.88x = 73,019,494.40
  5. Step 5: Solve for x
    x = 73,019,494.40/9,006.88
  6. Step 6: Final answer
    x = 8,107.08

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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.