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Finding the Fourth Proportional to 7,277.84, 10,915.14 and 2,894.12

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Solution

The fourth proportional to 7,277.84, 10,915.14 and 2,894.12 is: 4,340.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277.84 : 10,915.14 = 2,894.12 : x
  2. Step 2: Convert to fraction form
    7,277.84/10,915.14 = 2,894.12/x
  3. Step 3: Cross multiply
    7,277.84x = 10,915.14 × 2,894.12
  4. Step 4: Simplify right side
    7,277.84x = 31,589,724.98
  5. Step 5: Solve for x
    x = 31,589,724.98/7,277.84
  6. Step 6: Final answer
    x = 4,340.54

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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.