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Finding the Fourth Proportional to 2,034.88, 3,053.58 and 939.40

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Solution

The fourth proportional to 2,034.88, 3,053.58 and 939.40 is: 1,409.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.88 : 3,053.58 = 939.40 : x
  2. Step 2: Convert to fraction form
    2,034.88/3,053.58 = 939.40/x
  3. Step 3: Cross multiply
    2,034.88x = 3,053.58 × 939.40
  4. Step 4: Simplify right side
    2,034.88x = 2,868,533.05
  5. Step 5: Solve for x
    x = 2,868,533.05/2,034.88
  6. Step 6: Final answer
    x = 1,409.68

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1.5x scale

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.