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Finding the Fourth Proportional to 4,656.89, 6,985.34 and 2,189.90

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Solution

The fourth proportional to 4,656.89, 6,985.34 and 2,189.90 is: 3,284.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.89 : 6,985.34 = 2,189.90 : x
  2. Step 2: Convert to fraction form
    4,656.89/6,985.34 = 2,189.90/x
  3. Step 3: Cross multiply
    4,656.89x = 6,985.34 × 2,189.90
  4. Step 4: Simplify right side
    4,656.89x = 15,297,150.19
  5. Step 5: Solve for x
    x = 15,297,150.19/4,656.89
  6. Step 6: Final answer
    x = 3,284.85

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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.