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Finding the Fourth Proportional to 1,661.52, 2,287.20 and 1,642.08

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Solution

The fourth proportional to 1,661.52, 2,287.20 and 1,642.08 is: 2,260.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.52 : 2,287.20 = 1,642.08 : x
  2. Step 2: Convert to fraction form
    1,661.52/2,287.20 = 1,642.08/x
  3. Step 3: Cross multiply
    1,661.52x = 2,287.20 × 1,642.08
  4. Step 4: Simplify right side
    1,661.52x = 3,755,765.38
  5. Step 5: Solve for x
    x = 3,755,765.38/1,661.52
  6. Step 6: Final answer
    x = 2,260.44

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1.5x scale

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.