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Finding the Fourth Proportional to 25,354.61, 38,040.80 and 7,824.44

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Solution

The fourth proportional to 25,354.61, 38,040.80 and 7,824.44 is: 11,739.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,354.61 : 38,040.80 = 7,824.44 : x
  2. Step 2: Convert to fraction form
    25,354.61/38,040.80 = 7,824.44/x
  3. Step 3: Cross multiply
    25,354.61x = 38,040.80 × 7,824.44
  4. Step 4: Simplify right side
    25,354.61x = 297,648,071.82
  5. Step 5: Solve for x
    x = 297,648,071.82/25,354.61
  6. Step 6: Final answer
    x = 11,739.41

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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.