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Finding the Fourth Proportional to 5,311.70, 7,965.52 and 1,612.70

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Solution

The fourth proportional to 5,311.70, 7,965.52 and 1,612.70 is: 2,418.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.70 : 7,965.52 = 1,612.70 : x
  2. Step 2: Convert to fraction form
    5,311.70/7,965.52 = 1,612.70/x
  3. Step 3: Cross multiply
    5,311.70x = 7,965.52 × 1,612.70
  4. Step 4: Simplify right side
    5,311.70x = 12,845,994.10
  5. Step 5: Solve for x
    x = 12,845,994.10/5,311.70
  6. Step 6: Final answer
    x = 2,418.43

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1.5x scale

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.