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Finding the Fourth Proportional to 15,375.78, 23,063.64 and 4,987.50

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Solution

The fourth proportional to 15,375.78, 23,063.64 and 4,987.50 is: 7,481.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,375.78 : 23,063.64 = 4,987.50 : x
  2. Step 2: Convert to fraction form
    15,375.78/23,063.64 = 4,987.50/x
  3. Step 3: Cross multiply
    15,375.78x = 23,063.64 × 4,987.50
  4. Step 4: Simplify right side
    15,375.78x = 115,029,904.50
  5. Step 5: Solve for x
    x = 115,029,904.50/15,375.78
  6. Step 6: Final answer
    x = 7,481.24

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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.