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Finding the Fourth Proportional to 5,156.40, 7,746.12 and 4,962

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Solution

The fourth proportional to 5,156.40, 7,746.12 and 4,962 is: 7,454.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.40 : 7,746.12 = 4,962 : x
  2. Step 2: Convert to fraction form
    5,156.40/7,746.12 = 4,962/x
  3. Step 3: Cross multiply
    5,156.40x = 7,746.12 × 4,962
  4. Step 4: Simplify right side
    5,156.40x = 38,436,247.44
  5. Step 5: Solve for x
    x = 38,436,247.44/5,156.40
  6. Step 6: Final answer
    x = 7,454.09

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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.