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Finding the Fourth Proportional to 31,470, 43,428.06 and 18,040.92

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Solution

The fourth proportional to 31,470, 43,428.06 and 18,040.92 is: 24,896.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,470 : 43,428.06 = 18,040.92 : x
  2. Step 2: Convert to fraction form
    31,470/43,428.06 = 18,040.92/x
  3. Step 3: Cross multiply
    31,470x = 43,428.06 × 18,040.92
  4. Step 4: Simplify right side
    31,470x = 783,482,156.22
  5. Step 5: Solve for x
    x = 783,482,156.22/31,470
  6. Step 6: Final answer
    x = 24,896.16

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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.