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Finding the Fourth Proportional to 12,911.77, 19,318.78 and 7,649.61

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Solution

The fourth proportional to 12,911.77, 19,318.78 and 7,649.61 is: 11,445.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,911.77 : 19,318.78 = 7,649.61 : x
  2. Step 2: Convert to fraction form
    12,911.77/19,318.78 = 7,649.61/x
  3. Step 3: Cross multiply
    12,911.77x = 19,318.78 × 7,649.61
  4. Step 4: Simplify right side
    12,911.77x = 147,781,132.68
  5. Step 5: Solve for x
    x = 147,781,132.68/12,911.77
  6. Step 6: Final answer
    x = 11,445.46

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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.