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Finding the Fourth Proportional to 12,823.20, 17,696.04 and 7,516.96

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Solution

The fourth proportional to 12,823.20, 17,696.04 and 7,516.96 is: 10,373.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,823.20 : 17,696.04 = 7,516.96 : x
  2. Step 2: Convert to fraction form
    12,823.20/17,696.04 = 7,516.96/x
  3. Step 3: Cross multiply
    12,823.20x = 17,696.04 × 7,516.96
  4. Step 4: Simplify right side
    12,823.20x = 133,020,424.84
  5. Step 5: Solve for x
    x = 133,020,424.84/12,823.20
  6. Step 6: Final answer
    x = 10,373.42

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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.