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Finding the Fourth Proportional to 31,517, 43,494.36 and 17,370.76

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Solution

The fourth proportional to 31,517, 43,494.36 and 17,370.76 is: 23,972.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,517 : 43,494.36 = 17,370.76 : x
  2. Step 2: Convert to fraction form
    31,517/43,494.36 = 17,370.76/x
  3. Step 3: Cross multiply
    31,517x = 43,494.36 × 17,370.76
  4. Step 4: Simplify right side
    31,517x = 755,529,871.44
  5. Step 5: Solve for x
    x = 755,529,871.44/31,517
  6. Step 6: Final answer
    x = 23,972.14

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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.