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Finding the Fourth Proportional to 5,643.56, 8,468.04 and 2,180

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Solution

The fourth proportional to 5,643.56, 8,468.04 and 2,180 is: 3,271.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.56 : 8,468.04 = 2,180 : x
  2. Step 2: Convert to fraction form
    5,643.56/8,468.04 = 2,180/x
  3. Step 3: Cross multiply
    5,643.56x = 8,468.04 × 2,180
  4. Step 4: Simplify right side
    5,643.56x = 18,460,327.20
  5. Step 5: Solve for x
    x = 18,460,327.20/5,643.56
  6. Step 6: Final answer
    x = 3,271.04

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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.