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Finding the Fourth Proportional to 5,539, 7,643.84 and 3,055

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Solution

The fourth proportional to 5,539, 7,643.84 and 3,055 is: 4,215.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,539 : 7,643.84 = 3,055 : x
  2. Step 2: Convert to fraction form
    5,539/7,643.84 = 3,055/x
  3. Step 3: Cross multiply
    5,539x = 7,643.84 × 3,055
  4. Step 4: Simplify right side
    5,539x = 23,351,931.20
  5. Step 5: Solve for x
    x = 23,351,931.20/5,539
  6. Step 6: Final answer
    x = 4,215.91

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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.