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Finding the Fourth Proportional to 2,640, 3,642.66 and 1,577.28

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Solution

The fourth proportional to 2,640, 3,642.66 and 1,577.28 is: 2,176.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640 : 3,642.66 = 1,577.28 : x
  2. Step 2: Convert to fraction form
    2,640/3,642.66 = 1,577.28/x
  3. Step 3: Cross multiply
    2,640x = 3,642.66 × 1,577.28
  4. Step 4: Simplify right side
    2,640x = 5,745,494.76
  5. Step 5: Solve for x
    x = 5,745,494.76/2,640
  6. Step 6: Final answer
    x = 2,176.32

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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.