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Finding the Fourth Proportional to 9,405.64, 12,979.76 and 5,213.92

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Solution

The fourth proportional to 9,405.64, 12,979.76 and 5,213.92 is: 7,195.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.64 : 12,979.76 = 5,213.92 : x
  2. Step 2: Convert to fraction form
    9,405.64/12,979.76 = 5,213.92/x
  3. Step 3: Cross multiply
    9,405.64x = 12,979.76 × 5,213.92
  4. Step 4: Simplify right side
    9,405.64x = 67,675,430.26
  5. Step 5: Solve for x
    x = 67,675,430.26/9,405.64
  6. Step 6: Final answer
    x = 7,195.20

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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.