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Finding the Fourth Proportional to 10,523.12, 15,769.62 and 7,727.86

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Solution

The fourth proportional to 10,523.12, 15,769.62 and 7,727.86 is: 11,580.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.12 : 15,769.62 = 7,727.86 : x
  2. Step 2: Convert to fraction form
    10,523.12/15,769.62 = 7,727.86/x
  3. Step 3: Cross multiply
    10,523.12x = 15,769.62 × 7,727.86
  4. Step 4: Simplify right side
    10,523.12x = 121,865,415.61
  5. Step 5: Solve for x
    x = 121,865,415.61/10,523.12
  6. Step 6: Final answer
    x = 11,580.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.