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Finding the Fourth Proportional to 7,856.75, 11,785.13 and 2,384.75

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Solution

The fourth proportional to 7,856.75, 11,785.13 and 2,384.75 is: 3,577.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.75 : 11,785.13 = 2,384.75 : x
  2. Step 2: Convert to fraction form
    7,856.75/11,785.13 = 2,384.75/x
  3. Step 3: Cross multiply
    7,856.75x = 11,785.13 × 2,384.75
  4. Step 4: Simplify right side
    7,856.75x = 28,104,576.84
  5. Step 5: Solve for x
    x = 28,104,576.84/7,856.75
  6. Step 6: Final answer
    x = 3,577.13

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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.