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Finding the Fourth Proportional to 5,310.27, 7,965.42 and 1,612.53

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Solution

The fourth proportional to 5,310.27, 7,965.42 and 1,612.53 is: 2,418.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.27 : 7,965.42 = 1,612.53 : x
  2. Step 2: Convert to fraction form
    5,310.27/7,965.42 = 1,612.53/x
  3. Step 3: Cross multiply
    5,310.27x = 7,965.42 × 1,612.53
  4. Step 4: Simplify right side
    5,310.27x = 12,844,478.71
  5. Step 5: Solve for x
    x = 12,844,478.71/5,310.27
  6. Step 6: Final answer
    x = 2,418.80

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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.