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Finding the Fourth Proportional to 12,371.22, 17,055 and 10,475.28

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Solution

The fourth proportional to 12,371.22, 17,055 and 10,475.28 is: 14,441.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,371.22 : 17,055 = 10,475.28 : x
  2. Step 2: Convert to fraction form
    12,371.22/17,055 = 10,475.28/x
  3. Step 3: Cross multiply
    12,371.22x = 17,055 × 10,475.28
  4. Step 4: Simplify right side
    12,371.22x = 178,655,900.40
  5. Step 5: Solve for x
    x = 178,655,900.40/12,371.22
  6. Step 6: Final answer
    x = 14,441.25

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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.