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Finding the Fourth Proportional to 5,679.95, 8,509.19 and 3,216.53

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Solution

The fourth proportional to 5,679.95, 8,509.19 and 3,216.53 is: 4,818.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.95 : 8,509.19 = 3,216.53 : x
  2. Step 2: Convert to fraction form
    5,679.95/8,509.19 = 3,216.53/x
  3. Step 3: Cross multiply
    5,679.95x = 8,509.19 × 3,216.53
  4. Step 4: Simplify right side
    5,679.95x = 27,370,070.10
  5. Step 5: Solve for x
    x = 27,370,070.10/5,679.95
  6. Step 6: Final answer
    x = 4,818.72

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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.