Home / 5,107.56-7,656-3,464.20

Finding the Fourth Proportional to 5,107.56, 7,656 and 3,464.20

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Solution

The fourth proportional to 5,107.56, 7,656 and 3,464.20 is: 5,192.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.56 : 7,656 = 3,464.20 : x
  2. Step 2: Convert to fraction form
    5,107.56/7,656 = 3,464.20/x
  3. Step 3: Cross multiply
    5,107.56x = 7,656 × 3,464.20
  4. Step 4: Simplify right side
    5,107.56x = 26,521,915.20
  5. Step 5: Solve for x
    x = 26,521,915.20/5,107.56
  6. Step 6: Final answer
    x = 5,192.68

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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.