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Finding the Fourth Proportional to 15,971.61, 22,040.81 and 9,261.14

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Solution

The fourth proportional to 15,971.61, 22,040.81 and 9,261.14 is: 12,780.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,971.61 : 22,040.81 = 9,261.14 : x
  2. Step 2: Convert to fraction form
    15,971.61/22,040.81 = 9,261.14/x
  3. Step 3: Cross multiply
    15,971.61x = 22,040.81 × 9,261.14
  4. Step 4: Simplify right side
    15,971.61x = 204,123,027.12
  5. Step 5: Solve for x
    x = 204,123,027.12/15,971.61
  6. Step 6: Final answer
    x = 12,780.37

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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.