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Finding the Fourth Proportional to 9,349.92, 13,956.48 and 8,242.79

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Solution

The fourth proportional to 9,349.92, 13,956.48 and 8,242.79 is: 12,303.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349.92 : 13,956.48 = 8,242.79 : x
  2. Step 2: Convert to fraction form
    9,349.92/13,956.48 = 8,242.79/x
  3. Step 3: Cross multiply
    9,349.92x = 13,956.48 × 8,242.79
  4. Step 4: Simplify right side
    9,349.92x = 115,040,264.00
  5. Step 5: Solve for x
    x = 115,040,264.00/9,349.92
  6. Step 6: Final answer
    x = 12,303.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.