Home / 1,412.60-2,116.12-949.08

Finding the Fourth Proportional to 1,412.60, 2,116.12 and 949.08

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Solution

The fourth proportional to 1,412.60, 2,116.12 and 949.08 is: 1,421.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.60 : 2,116.12 = 949.08 : x
  2. Step 2: Convert to fraction form
    1,412.60/2,116.12 = 949.08/x
  3. Step 3: Cross multiply
    1,412.60x = 2,116.12 × 949.08
  4. Step 4: Simplify right side
    1,412.60x = 2,008,367.17
  5. Step 5: Solve for x
    x = 2,008,367.17/1,412.60
  6. Step 6: Final answer
    x = 1,421.75

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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.