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Finding the Fourth Proportional to 8,715.84, 13,078.50 and 3,785.46

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Solution

The fourth proportional to 8,715.84, 13,078.50 and 3,785.46 is: 5,680.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,715.84 : 13,078.50 = 3,785.46 : x
  2. Step 2: Convert to fraction form
    8,715.84/13,078.50 = 3,785.46/x
  3. Step 3: Cross multiply
    8,715.84x = 13,078.50 × 3,785.46
  4. Step 4: Simplify right side
    8,715.84x = 49,508,138.61
  5. Step 5: Solve for x
    x = 49,508,138.61/8,715.84
  6. Step 6: Final answer
    x = 5,680.25

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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.