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Finding the Fourth Proportional to 8,358.95, 11,511.03 and 7,824.71

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Solution

The fourth proportional to 8,358.95, 11,511.03 and 7,824.71 is: 10,775.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,358.95 : 11,511.03 = 7,824.71 : x
  2. Step 2: Convert to fraction form
    8,358.95/11,511.03 = 7,824.71/x
  3. Step 3: Cross multiply
    8,358.95x = 11,511.03 × 7,824.71
  4. Step 4: Simplify right side
    8,358.95x = 90,070,500.33
  5. Step 5: Solve for x
    x = 90,070,500.33/8,358.95
  6. Step 6: Final answer
    x = 10,775.34

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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.