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Finding the Fourth Proportional to 2,660.82, 3,672.09 and 1,541.40

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Solution

The fourth proportional to 2,660.82, 3,672.09 and 1,541.40 is: 2,127.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.82 : 3,672.09 = 1,541.40 : x
  2. Step 2: Convert to fraction form
    2,660.82/3,672.09 = 1,541.40/x
  3. Step 3: Cross multiply
    2,660.82x = 3,672.09 × 1,541.40
  4. Step 4: Simplify right side
    2,660.82x = 5,660,159.53
  5. Step 5: Solve for x
    x = 5,660,159.53/2,660.82
  6. Step 6: Final answer
    x = 2,127.22

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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.