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Finding the Fourth Proportional to 5,325.25, 7,987.88 and 2,400.14

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Solution

The fourth proportional to 5,325.25, 7,987.88 and 2,400.14 is: 3,600.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,325.25 : 7,987.88 = 2,400.14 : x
  2. Step 2: Convert to fraction form
    5,325.25/7,987.88 = 2,400.14/x
  3. Step 3: Cross multiply
    5,325.25x = 7,987.88 × 2,400.14
  4. Step 4: Simplify right side
    5,325.25x = 19,171,978.36
  5. Step 5: Solve for x
    x = 19,171,978.36/5,325.25
  6. Step 6: Final answer
    x = 3,600.20

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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.