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Finding the Fourth Proportional to 25,978, 38,967.72 and 7,510

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Solution

The fourth proportional to 25,978, 38,967.72 and 7,510 is: 11,265.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,978 : 38,967.72 = 7,510 : x
  2. Step 2: Convert to fraction form
    25,978/38,967.72 = 7,510/x
  3. Step 3: Cross multiply
    25,978x = 38,967.72 × 7,510
  4. Step 4: Simplify right side
    25,978x = 292,647,577.20
  5. Step 5: Solve for x
    x = 292,647,577.20/25,978
  6. Step 6: Final answer
    x = 11,265.21

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