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Finding the Fourth Proportional to 4,643.80, 6,961.80 and 2,177.32

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Solution

The fourth proportional to 4,643.80, 6,961.80 and 2,177.32 is: 3,264.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.80 : 6,961.80 = 2,177.32 : x
  2. Step 2: Convert to fraction form
    4,643.80/6,961.80 = 2,177.32/x
  3. Step 3: Cross multiply
    4,643.80x = 6,961.80 × 2,177.32
  4. Step 4: Simplify right side
    4,643.80x = 15,158,066.38
  5. Step 5: Solve for x
    x = 15,158,066.38/4,643.80
  6. Step 6: Final answer
    x = 3,264.15

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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.