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Finding the Fourth Proportional to 2,653.31, 3,660.63 and 1,658.22

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Solution

The fourth proportional to 2,653.31, 3,660.63 and 1,658.22 is: 2,287.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.31 : 3,660.63 = 1,658.22 : x
  2. Step 2: Convert to fraction form
    2,653.31/3,660.63 = 1,658.22/x
  3. Step 3: Cross multiply
    2,653.31x = 3,660.63 × 1,658.22
  4. Step 4: Simplify right side
    2,653.31x = 6,070,129.88
  5. Step 5: Solve for x
    x = 6,070,129.88/2,653.31
  6. Step 6: Final answer
    x = 2,287.76

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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.