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Finding the Fourth Proportional to 8,478.92, 12,656.68 and 7,785.56

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Solution

The fourth proportional to 8,478.92, 12,656.68 and 7,785.56 is: 11,621.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.92 : 12,656.68 = 7,785.56 : x
  2. Step 2: Convert to fraction form
    8,478.92/12,656.68 = 7,785.56/x
  3. Step 3: Cross multiply
    8,478.92x = 12,656.68 × 7,785.56
  4. Step 4: Simplify right side
    8,478.92x = 98,539,341.54
  5. Step 5: Solve for x
    x = 98,539,341.54/8,478.92
  6. Step 6: Final answer
    x = 11,621.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.