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Finding the Fourth Proportional to 5,244.90, 7,867.35 and 2,912.10

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Solution

The fourth proportional to 5,244.90, 7,867.35 and 2,912.10 is: 4,368.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,244.90 : 7,867.35 = 2,912.10 : x
  2. Step 2: Convert to fraction form
    5,244.90/7,867.35 = 2,912.10/x
  3. Step 3: Cross multiply
    5,244.90x = 7,867.35 × 2,912.10
  4. Step 4: Simplify right side
    5,244.90x = 22,910,509.94
  5. Step 5: Solve for x
    x = 22,910,509.94/5,244.90
  6. Step 6: Final answer
    x = 4,368.15

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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.