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Finding the Fourth Proportional to 4,869.87, 6,719.94 and 2,982

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Solution

The fourth proportional to 4,869.87, 6,719.94 and 2,982 is: 4,114.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869.87 : 6,719.94 = 2,982 : x
  2. Step 2: Convert to fraction form
    4,869.87/6,719.94 = 2,982/x
  3. Step 3: Cross multiply
    4,869.87x = 6,719.94 × 2,982
  4. Step 4: Simplify right side
    4,869.87x = 20,038,861.08
  5. Step 5: Solve for x
    x = 20,038,861.08/4,869.87
  6. Step 6: Final answer
    x = 4,114.87

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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.