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Finding the Fourth Proportional to 14,956.30, 20,640.86 and 8,243.13

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Solution

The fourth proportional to 14,956.30, 20,640.86 and 8,243.13 is: 11,376.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,956.30 : 20,640.86 = 8,243.13 : x
  2. Step 2: Convert to fraction form
    14,956.30/20,640.86 = 8,243.13/x
  3. Step 3: Cross multiply
    14,956.30x = 20,640.86 × 8,243.13
  4. Step 4: Simplify right side
    14,956.30x = 170,145,292.29
  5. Step 5: Solve for x
    x = 170,145,292.29/14,956.30
  6. Step 6: Final answer
    x = 11,376.16

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1.5x scale

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.