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Finding the Fourth Proportional to 2,642.42, 3,643.54 and 1,977.14

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Solution

The fourth proportional to 2,642.42, 3,643.54 and 1,977.14 is: 2,726.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.42 : 3,643.54 = 1,977.14 : x
  2. Step 2: Convert to fraction form
    2,642.42/3,643.54 = 1,977.14/x
  3. Step 3: Cross multiply
    2,642.42x = 3,643.54 × 1,977.14
  4. Step 4: Simplify right side
    2,642.42x = 7,203,788.68
  5. Step 5: Solve for x
    x = 7,203,788.68/2,642.42
  6. Step 6: Final answer
    x = 2,726.21

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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.