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Finding the Fourth Proportional to 23,034.40, 31,787.34 and 13,098.40

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Solution

The fourth proportional to 23,034.40, 31,787.34 and 13,098.40 is: 18,075.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,034.40 : 31,787.34 = 13,098.40 : x
  2. Step 2: Convert to fraction form
    23,034.40/31,787.34 = 13,098.40/x
  3. Step 3: Cross multiply
    23,034.40x = 31,787.34 × 13,098.40
  4. Step 4: Simplify right side
    23,034.40x = 416,363,294.26
  5. Step 5: Solve for x
    x = 416,363,294.26/23,034.40
  6. Step 6: Final answer
    x = 18,075.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.