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Finding the Fourth Proportional to 2,383.38, 3,575.40 and 740.05

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Solution

The fourth proportional to 2,383.38, 3,575.40 and 740.05 is: 1,110.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.38 : 3,575.40 = 740.05 : x
  2. Step 2: Convert to fraction form
    2,383.38/3,575.40 = 740.05/x
  3. Step 3: Cross multiply
    2,383.38x = 3,575.40 × 740.05
  4. Step 4: Simplify right side
    2,383.38x = 2,645,974.77
  5. Step 5: Solve for x
    x = 2,645,974.77/2,383.38
  6. Step 6: Final answer
    x = 1,110.18

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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.