Home / 1,972.40-2,720.68-1,412.08

Finding the Fourth Proportional to 1,972.40, 2,720.68 and 1,412.08

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Solution

The fourth proportional to 1,972.40, 2,720.68 and 1,412.08 is: 1,947.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.40 : 2,720.68 = 1,412.08 : x
  2. Step 2: Convert to fraction form
    1,972.40/2,720.68 = 1,412.08/x
  3. Step 3: Cross multiply
    1,972.40x = 2,720.68 × 1,412.08
  4. Step 4: Simplify right side
    1,972.40x = 3,841,817.81
  5. Step 5: Solve for x
    x = 3,841,817.81/1,972.40
  6. Step 6: Final answer
    x = 1,947.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.