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Finding the Fourth Proportional to 3,412.70, 5,118.84 and 1,437.48

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Solution

The fourth proportional to 3,412.70, 5,118.84 and 1,437.48 is: 2,156.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.70 : 5,118.84 = 1,437.48 : x
  2. Step 2: Convert to fraction form
    3,412.70/5,118.84 = 1,437.48/x
  3. Step 3: Cross multiply
    3,412.70x = 5,118.84 × 1,437.48
  4. Step 4: Simplify right side
    3,412.70x = 7,358,230.12
  5. Step 5: Solve for x
    x = 7,358,230.12/3,412.70
  6. Step 6: Final answer
    x = 2,156.13

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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.