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Finding the Fourth Proportional to 25,168.77, 37,753.28 and 7,638.75

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Solution

The fourth proportional to 25,168.77, 37,753.28 and 7,638.75 is: 11,458.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,168.77 : 37,753.28 = 7,638.75 : x
  2. Step 2: Convert to fraction form
    25,168.77/37,753.28 = 7,638.75/x
  3. Step 3: Cross multiply
    25,168.77x = 37,753.28 × 7,638.75
  4. Step 4: Simplify right side
    25,168.77x = 288,387,829.41
  5. Step 5: Solve for x
    x = 288,387,829.41/25,168.77
  6. Step 6: Final answer
    x = 11,458.16

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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.