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Finding the Fourth Proportional to 8,509.76, 11,742.66 and 7,882.82

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Solution

The fourth proportional to 8,509.76, 11,742.66 and 7,882.82 is: 10,877.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.76 : 11,742.66 = 7,882.82 : x
  2. Step 2: Convert to fraction form
    8,509.76/11,742.66 = 7,882.82/x
  3. Step 3: Cross multiply
    8,509.76x = 11,742.66 × 7,882.82
  4. Step 4: Simplify right side
    8,509.76x = 92,565,216.39
  5. Step 5: Solve for x
    x = 92,565,216.39/8,509.76
  6. Step 6: Final answer
    x = 10,877.54

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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.