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Finding the Fourth Proportional to 8,489.93, 12,710.25 and 5,192.96

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Solution

The fourth proportional to 8,489.93, 12,710.25 and 5,192.96 is: 7,774.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.93 : 12,710.25 = 5,192.96 : x
  2. Step 2: Convert to fraction form
    8,489.93/12,710.25 = 5,192.96/x
  3. Step 3: Cross multiply
    8,489.93x = 12,710.25 × 5,192.96
  4. Step 4: Simplify right side
    8,489.93x = 66,003,756.29
  5. Step 5: Solve for x
    x = 66,003,756.29/8,489.93
  6. Step 6: Final answer
    x = 7,774.36

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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.