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Finding the Fourth Proportional to 11,520.94, 15,908.13 and 7,489.77

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Solution

The fourth proportional to 11,520.94, 15,908.13 and 7,489.77 is: 10,341.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,520.94 : 15,908.13 = 7,489.77 : x
  2. Step 2: Convert to fraction form
    11,520.94/15,908.13 = 7,489.77/x
  3. Step 3: Cross multiply
    11,520.94x = 15,908.13 × 7,489.77
  4. Step 4: Simplify right side
    11,520.94x = 119,148,234.83
  5. Step 5: Solve for x
    x = 119,148,234.83/11,520.94
  6. Step 6: Final answer
    x = 10,341.88

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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.