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Finding the Fourth Proportional to 25,779, 38,670.75 and 7,311

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Solution

The fourth proportional to 25,779, 38,670.75 and 7,311 is: 10,967.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,779 : 38,670.75 = 7,311 : x
  2. Step 2: Convert to fraction form
    25,779/38,670.75 = 7,311/x
  3. Step 3: Cross multiply
    25,779x = 38,670.75 × 7,311
  4. Step 4: Simplify right side
    25,779x = 282,721,853.25
  5. Step 5: Solve for x
    x = 282,721,853.25/25,779
  6. Step 6: Final answer
    x = 10,967.14

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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.