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Finding the Fourth Proportional to 3,539.70, 5,311.71 and 1,460.70

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Solution

The fourth proportional to 3,539.70, 5,311.71 and 1,460.70 is: 2,191.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.70 : 5,311.71 = 1,460.70 : x
  2. Step 2: Convert to fraction form
    3,539.70/5,311.71 = 1,460.70/x
  3. Step 3: Cross multiply
    3,539.70x = 5,311.71 × 1,460.70
  4. Step 4: Simplify right side
    3,539.70x = 7,758,814.80
  5. Step 5: Solve for x
    x = 7,758,814.80/3,539.70
  6. Step 6: Final answer
    x = 2,191.94

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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.