Home / 5,214.90-7,823.51-1,517.42

Finding the Fourth Proportional to 5,214.90, 7,823.51 and 1,517.42

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Solution

The fourth proportional to 5,214.90, 7,823.51 and 1,517.42 is: 2,276.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.90 : 7,823.51 = 1,517.42 : x
  2. Step 2: Convert to fraction form
    5,214.90/7,823.51 = 1,517.42/x
  3. Step 3: Cross multiply
    5,214.90x = 7,823.51 × 1,517.42
  4. Step 4: Simplify right side
    5,214.90x = 11,871,550.54
  5. Step 5: Solve for x
    x = 11,871,550.54/5,214.90
  6. Step 6: Final answer
    x = 2,276.47

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Why These Related Problems?

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