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Finding the Fourth Proportional to 12,288.96, 16,960.84 and 7,254.44

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Solution

The fourth proportional to 12,288.96, 16,960.84 and 7,254.44 is: 10,012.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288.96 : 16,960.84 = 7,254.44 : x
  2. Step 2: Convert to fraction form
    12,288.96/16,960.84 = 7,254.44/x
  3. Step 3: Cross multiply
    12,288.96x = 16,960.84 × 7,254.44
  4. Step 4: Simplify right side
    12,288.96x = 123,041,396.13
  5. Step 5: Solve for x
    x = 123,041,396.13/12,288.96
  6. Step 6: Final answer
    x = 10,012.35

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Double scale
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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.