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Finding the Fourth Proportional to 2,643.82, 3,964.48 and 977.40

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Solution

The fourth proportional to 2,643.82, 3,964.48 and 977.40 is: 1,465.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.82 : 3,964.48 = 977.40 : x
  2. Step 2: Convert to fraction form
    2,643.82/3,964.48 = 977.40/x
  3. Step 3: Cross multiply
    2,643.82x = 3,964.48 × 977.40
  4. Step 4: Simplify right side
    2,643.82x = 3,874,882.75
  5. Step 5: Solve for x
    x = 3,874,882.75/2,643.82
  6. Step 6: Final answer
    x = 1,465.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.