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Finding the Fourth Proportional to 12,039.77, 16,616.84 and 7,564.17

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Solution

The fourth proportional to 12,039.77, 16,616.84 and 7,564.17 is: 10,439.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,039.77 : 16,616.84 = 7,564.17 : x
  2. Step 2: Convert to fraction form
    12,039.77/16,616.84 = 7,564.17/x
  3. Step 3: Cross multiply
    12,039.77x = 16,616.84 × 7,564.17
  4. Step 4: Simplify right side
    12,039.77x = 125,692,627.12
  5. Step 5: Solve for x
    x = 125,692,627.12/12,039.77
  6. Step 6: Final answer
    x = 10,439.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.