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Finding the Fourth Proportional to 5,311.63, 7,966.54 and 1,612.97

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Solution

The fourth proportional to 5,311.63, 7,966.54 and 1,612.97 is: 2,419.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.63 : 7,966.54 = 1,612.97 : x
  2. Step 2: Convert to fraction form
    5,311.63/7,966.54 = 1,612.97/x
  3. Step 3: Cross multiply
    5,311.63x = 7,966.54 × 1,612.97
  4. Step 4: Simplify right side
    5,311.63x = 12,849,790.02
  5. Step 5: Solve for x
    x = 12,849,790.02/5,311.63
  6. Step 6: Final answer
    x = 2,419.18

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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.