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Finding the Fourth Proportional to 15,801.78, 23,702.67 and 4,115.00

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Solution

The fourth proportional to 15,801.78, 23,702.67 and 4,115.00 is: 6,172.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,801.78 : 23,702.67 = 4,115.00 : x
  2. Step 2: Convert to fraction form
    15,801.78/23,702.67 = 4,115.00/x
  3. Step 3: Cross multiply
    15,801.78x = 23,702.67 × 4,115.00
  4. Step 4: Simplify right side
    15,801.78x = 97,536,546.31
  5. Step 5: Solve for x
    x = 97,536,546.31/15,801.78
  6. Step 6: Final answer
    x = 6,172.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.