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Finding the Fourth Proportional to 8,573.82, 12,825.64 and 6,478.25

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Solution

The fourth proportional to 8,573.82, 12,825.64 and 6,478.25 is: 9,690.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,573.82 : 12,825.64 = 6,478.25 : x
  2. Step 2: Convert to fraction form
    8,573.82/12,825.64 = 6,478.25/x
  3. Step 3: Cross multiply
    8,573.82x = 12,825.64 × 6,478.25
  4. Step 4: Simplify right side
    8,573.82x = 83,087,646.30
  5. Step 5: Solve for x
    x = 83,087,646.30/8,573.82
  6. Step 6: Final answer
    x = 9,690.86

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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.