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Finding the Fourth Proportional to 1,470.94, 2,195.90 and 1,419.70

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Solution

The fourth proportional to 1,470.94, 2,195.90 and 1,419.70 is: 2,119.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.94 : 2,195.90 = 1,419.70 : x
  2. Step 2: Convert to fraction form
    1,470.94/2,195.90 = 1,419.70/x
  3. Step 3: Cross multiply
    1,470.94x = 2,195.90 × 1,419.70
  4. Step 4: Simplify right side
    1,470.94x = 3,117,519.23
  5. Step 5: Solve for x
    x = 3,117,519.23/1,470.94
  6. Step 6: Final answer
    x = 2,119.41

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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.