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Finding the Fourth Proportional to 4,658.71, 6,978.01 and 2,189.83

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Solution

The fourth proportional to 4,658.71, 6,978.01 and 2,189.83 is: 3,280.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.71 : 6,978.01 = 2,189.83 : x
  2. Step 2: Convert to fraction form
    4,658.71/6,978.01 = 2,189.83/x
  3. Step 3: Cross multiply
    4,658.71x = 6,978.01 × 2,189.83
  4. Step 4: Simplify right side
    4,658.71x = 15,280,655.64
  5. Step 5: Solve for x
    x = 15,280,655.64/4,658.71
  6. Step 6: Final answer
    x = 3,280.02

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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.