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Finding the Fourth Proportional to 15,859.78, 23,782.51 and 4,764.30

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Solution

The fourth proportional to 15,859.78, 23,782.51 and 4,764.30 is: 7,144.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,859.78 : 23,782.51 = 4,764.30 : x
  2. Step 2: Convert to fraction form
    15,859.78/23,782.51 = 4,764.30/x
  3. Step 3: Cross multiply
    15,859.78x = 23,782.51 × 4,764.30
  4. Step 4: Simplify right side
    15,859.78x = 113,307,062.94
  5. Step 5: Solve for x
    x = 113,307,062.94/15,859.78
  6. Step 6: Final answer
    x = 7,144.30

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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.