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Finding the Fourth Proportional to 7,759.67, 11,639.20 and 1,916.13

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Solution

The fourth proportional to 7,759.67, 11,639.20 and 1,916.13 is: 2,874.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759.67 : 11,639.20 = 1,916.13 : x
  2. Step 2: Convert to fraction form
    7,759.67/11,639.20 = 1,916.13/x
  3. Step 3: Cross multiply
    7,759.67x = 11,639.20 × 1,916.13
  4. Step 4: Simplify right side
    7,759.67x = 22,302,220.30
  5. Step 5: Solve for x
    x = 22,302,220.30/7,759.67
  6. Step 6: Final answer
    x = 2,874.12

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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.