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Finding the Fourth Proportional to 8,649.74, 12,971.87 and 3,102.96

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Solution

The fourth proportional to 8,649.74, 12,971.87 and 3,102.96 is: 4,653.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.74 : 12,971.87 = 3,102.96 : x
  2. Step 2: Convert to fraction form
    8,649.74/12,971.87 = 3,102.96/x
  3. Step 3: Cross multiply
    8,649.74x = 12,971.87 × 3,102.96
  4. Step 4: Simplify right side
    8,649.74x = 40,251,174.26
  5. Step 5: Solve for x
    x = 40,251,174.26/8,649.74
  6. Step 6: Final answer
    x = 4,653.46

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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.