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Finding the Fourth Proportional to 8,494.74, 12,715.92 and 5,196.96

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Solution

The fourth proportional to 8,494.74, 12,715.92 and 5,196.96 is: 7,779.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.74 : 12,715.92 = 5,196.96 : x
  2. Step 2: Convert to fraction form
    8,494.74/12,715.92 = 5,196.96/x
  3. Step 3: Cross multiply
    8,494.74x = 12,715.92 × 5,196.96
  4. Step 4: Simplify right side
    8,494.74x = 66,084,127.60
  5. Step 5: Solve for x
    x = 66,084,127.60/8,494.74
  6. Step 6: Final answer
    x = 7,779.42

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1.5x scale

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.