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Finding the Fourth Proportional to 3,985, 5,499.30 and 2,329

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Solution

The fourth proportional to 3,985, 5,499.30 and 2,329 is: 3,214.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985 : 5,499.30 = 2,329 : x
  2. Step 2: Convert to fraction form
    3,985/5,499.30 = 2,329/x
  3. Step 3: Cross multiply
    3,985x = 5,499.30 × 2,329
  4. Step 4: Simplify right side
    3,985x = 12,807,869.70
  5. Step 5: Solve for x
    x = 12,807,869.70/3,985
  6. Step 6: Final answer
    x = 3,214.02

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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.