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Finding the Fourth Proportional to 12,860.32, 17,741.25 and 8,324.46

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Solution

The fourth proportional to 12,860.32, 17,741.25 and 8,324.46 is: 11,483.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,860.32 : 17,741.25 = 8,324.46 : x
  2. Step 2: Convert to fraction form
    12,860.32/17,741.25 = 8,324.46/x
  3. Step 3: Cross multiply
    12,860.32x = 17,741.25 × 8,324.46
  4. Step 4: Simplify right side
    12,860.32x = 147,686,392.81
  5. Step 5: Solve for x
    x = 147,686,392.81/12,860.32
  6. Step 6: Final answer
    x = 11,483.88

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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.