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Finding the Fourth Proportional to 7,715.76, 11,574.18 and 3,819.12

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Solution

The fourth proportional to 7,715.76, 11,574.18 and 3,819.12 is: 5,728.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.76 : 11,574.18 = 3,819.12 : x
  2. Step 2: Convert to fraction form
    7,715.76/11,574.18 = 3,819.12/x
  3. Step 3: Cross multiply
    7,715.76x = 11,574.18 × 3,819.12
  4. Step 4: Simplify right side
    7,715.76x = 44,203,182.32
  5. Step 5: Solve for x
    x = 44,203,182.32/7,715.76
  6. Step 6: Final answer
    x = 5,728.95

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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.