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Finding the Fourth Proportional to 12,331.16, 17,012.22 and 7,854.11

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Solution

The fourth proportional to 12,331.16, 17,012.22 and 7,854.11 is: 10,835.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,331.16 : 17,012.22 = 7,854.11 : x
  2. Step 2: Convert to fraction form
    12,331.16/17,012.22 = 7,854.11/x
  3. Step 3: Cross multiply
    12,331.16x = 17,012.22 × 7,854.11
  4. Step 4: Simplify right side
    12,331.16x = 133,615,847.22
  5. Step 5: Solve for x
    x = 133,615,847.22/12,331.16
  6. Step 6: Final answer
    x = 10,835.63

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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.