Home / 1,412.20-2,118.30-974.80

Finding the Fourth Proportional to 1,412.20, 2,118.30 and 974.80

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Solution

The fourth proportional to 1,412.20, 2,118.30 and 974.80 is: 1,462.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.20 : 2,118.30 = 974.80 : x
  2. Step 2: Convert to fraction form
    1,412.20/2,118.30 = 974.80/x
  3. Step 3: Cross multiply
    1,412.20x = 2,118.30 × 974.80
  4. Step 4: Simplify right side
    1,412.20x = 2,064,918.84
  5. Step 5: Solve for x
    x = 2,064,918.84/1,412.20
  6. Step 6: Final answer
    x = 1,462.20

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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.