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Finding the Fourth Proportional to 11,473.92, 15,818.90 and 8,284.55

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Solution

The fourth proportional to 11,473.92, 15,818.90 and 8,284.55 is: 11,421.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,473.92 : 15,818.90 = 8,284.55 : x
  2. Step 2: Convert to fraction form
    11,473.92/15,818.90 = 8,284.55/x
  3. Step 3: Cross multiply
    11,473.92x = 15,818.90 × 8,284.55
  4. Step 4: Simplify right side
    11,473.92x = 131,052,347.48
  5. Step 5: Solve for x
    x = 131,052,347.48/11,473.92
  6. Step 6: Final answer
    x = 11,421.76

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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.