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Finding the Fourth Proportional to 2,642.72, 3,648.66 and 1,648.40

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Solution

The fourth proportional to 2,642.72, 3,648.66 and 1,648.40 is: 2,275.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.72 : 3,648.66 = 1,648.40 : x
  2. Step 2: Convert to fraction form
    2,642.72/3,648.66 = 1,648.40/x
  3. Step 3: Cross multiply
    2,642.72x = 3,648.66 × 1,648.40
  4. Step 4: Simplify right side
    2,642.72x = 6,014,451.14
  5. Step 5: Solve for x
    x = 6,014,451.14/2,642.72
  6. Step 6: Final answer
    x = 2,275.86

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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.