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Finding the Fourth Proportional to 5,311.68, 7,966.90 and 1,416.39

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Solution

The fourth proportional to 5,311.68, 7,966.90 and 1,416.39 is: 2,124.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.68 : 7,966.90 = 1,416.39 : x
  2. Step 2: Convert to fraction form
    5,311.68/7,966.90 = 1,416.39/x
  3. Step 3: Cross multiply
    5,311.68x = 7,966.90 × 1,416.39
  4. Step 4: Simplify right side
    5,311.68x = 11,284,237.49
  5. Step 5: Solve for x
    x = 11,284,237.49/5,311.68
  6. Step 6: Final answer
    x = 2,124.42

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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.