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Finding the Fourth Proportional to 10,523.64, 15,771.64 and 5,582.80

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Solution

The fourth proportional to 10,523.64, 15,771.64 and 5,582.80 is: 8,366.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.64 : 15,771.64 = 5,582.80 : x
  2. Step 2: Convert to fraction form
    10,523.64/15,771.64 = 5,582.80/x
  3. Step 3: Cross multiply
    10,523.64x = 15,771.64 × 5,582.80
  4. Step 4: Simplify right side
    10,523.64x = 88,049,911.79
  5. Step 5: Solve for x
    x = 88,049,911.79/10,523.64
  6. Step 6: Final answer
    x = 8,366.87

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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.