Home / 1,420.11-1,958.40-922.18

Finding the Fourth Proportional to 1,420.11, 1,958.40 and 922.18

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Solution

The fourth proportional to 1,420.11, 1,958.40 and 922.18 is: 1,271.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.11 : 1,958.40 = 922.18 : x
  2. Step 2: Convert to fraction form
    1,420.11/1,958.40 = 922.18/x
  3. Step 3: Cross multiply
    1,420.11x = 1,958.40 × 922.18
  4. Step 4: Simplify right side
    1,420.11x = 1,805,997.31
  5. Step 5: Solve for x
    x = 1,805,997.31/1,420.11
  6. Step 6: Final answer
    x = 1,271.73

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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.