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Finding the Fourth Proportional to 2,293.11, 3,438.95 and 753.75

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Solution

The fourth proportional to 2,293.11, 3,438.95 and 753.75 is: 1,130.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.11 : 3,438.95 = 753.75 : x
  2. Step 2: Convert to fraction form
    2,293.11/3,438.95 = 753.75/x
  3. Step 3: Cross multiply
    2,293.11x = 3,438.95 × 753.75
  4. Step 4: Simplify right side
    2,293.11x = 2,592,104.79
  5. Step 5: Solve for x
    x = 2,592,104.79/2,293.11
  6. Step 6: Final answer
    x = 1,130.39

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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.