Home / 1,419.71-2,113.02-1,406.03

Finding the Fourth Proportional to 1,419.71, 2,113.02 and 1,406.03

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Solution

The fourth proportional to 1,419.71, 2,113.02 and 1,406.03 is: 2,092.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.71 : 2,113.02 = 1,406.03 : x
  2. Step 2: Convert to fraction form
    1,419.71/2,113.02 = 1,406.03/x
  3. Step 3: Cross multiply
    1,419.71x = 2,113.02 × 1,406.03
  4. Step 4: Simplify right side
    1,419.71x = 2,970,958.95
  5. Step 5: Solve for x
    x = 2,970,958.95/1,419.71
  6. Step 6: Final answer
    x = 2,092.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.