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Finding the Fourth Proportional to 4,513, 6,770.85 and 1,916.14

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Solution

The fourth proportional to 4,513, 6,770.85 and 1,916.14 is: 2,874.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,513 : 6,770.85 = 1,916.14 : x
  2. Step 2: Convert to fraction form
    4,513/6,770.85 = 1,916.14/x
  3. Step 3: Cross multiply
    4,513x = 6,770.85 × 1,916.14
  4. Step 4: Simplify right side
    4,513x = 12,973,896.52
  5. Step 5: Solve for x
    x = 12,973,896.52/4,513
  6. Step 6: Final answer
    x = 2,874.78

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1.5x scale

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.