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Finding the Fourth Proportional to 9,005.72, 13,508.72 and 3,162.40

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Solution

The fourth proportional to 9,005.72, 13,508.72 and 3,162.40 is: 4,743.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,005.72 : 13,508.72 = 3,162.40 : x
  2. Step 2: Convert to fraction form
    9,005.72/13,508.72 = 3,162.40/x
  3. Step 3: Cross multiply
    9,005.72x = 13,508.72 × 3,162.40
  4. Step 4: Simplify right side
    9,005.72x = 42,719,976.13
  5. Step 5: Solve for x
    x = 42,719,976.13/9,005.72
  6. Step 6: Final answer
    x = 4,743.65

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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.