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Finding the Fourth Proportional to 1,430.74, 1,974.81 and 1,171.54

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Solution

The fourth proportional to 1,430.74, 1,974.81 and 1,171.54 is: 1,617.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.74 : 1,974.81 = 1,171.54 : x
  2. Step 2: Convert to fraction form
    1,430.74/1,974.81 = 1,171.54/x
  3. Step 3: Cross multiply
    1,430.74x = 1,974.81 × 1,171.54
  4. Step 4: Simplify right side
    1,430.74x = 2,313,568.91
  5. Step 5: Solve for x
    x = 2,313,568.91/1,430.74
  6. Step 6: Final answer
    x = 1,617.04

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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.