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Finding the Fourth Proportional to 1,601.66, 2,390.12 and 1,542.12

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Solution

The fourth proportional to 1,601.66, 2,390.12 and 1,542.12 is: 2,301.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.66 : 2,390.12 = 1,542.12 : x
  2. Step 2: Convert to fraction form
    1,601.66/2,390.12 = 1,542.12/x
  3. Step 3: Cross multiply
    1,601.66x = 2,390.12 × 1,542.12
  4. Step 4: Simplify right side
    1,601.66x = 3,685,844.14
  5. Step 5: Solve for x
    x = 3,685,844.14/1,601.66
  6. Step 6: Final answer
    x = 2,301.27

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1.5x scale

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.