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Finding the Fourth Proportional to 5,343.75, 8,014.28 and 1,645.02

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Solution

The fourth proportional to 5,343.75, 8,014.28 and 1,645.02 is: 2,467.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,343.75 : 8,014.28 = 1,645.02 : x
  2. Step 2: Convert to fraction form
    5,343.75/8,014.28 = 1,645.02/x
  3. Step 3: Cross multiply
    5,343.75x = 8,014.28 × 1,645.02
  4. Step 4: Simplify right side
    5,343.75x = 13,183,642.66
  5. Step 5: Solve for x
    x = 13,183,642.66/5,343.75
  6. Step 6: Final answer
    x = 2,467.11

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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.