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Finding the Fourth Proportional to 12,821.76, 17,696.16 and 7,234.56

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Solution

The fourth proportional to 12,821.76, 17,696.16 and 7,234.56 is: 9,984.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,821.76 : 17,696.16 = 7,234.56 : x
  2. Step 2: Convert to fraction form
    12,821.76/17,696.16 = 7,234.56/x
  3. Step 3: Cross multiply
    12,821.76x = 17,696.16 × 7,234.56
  4. Step 4: Simplify right side
    12,821.76x = 128,023,931.29
  5. Step 5: Solve for x
    x = 128,023,931.29/12,821.76
  6. Step 6: Final answer
    x = 9,984.90

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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.