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Finding the Fourth Proportional to 7,168.50, 10,752.66 and 2,785.95

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Solution

The fourth proportional to 7,168.50, 10,752.66 and 2,785.95 is: 4,178.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,168.50 : 10,752.66 = 2,785.95 : x
  2. Step 2: Convert to fraction form
    7,168.50/10,752.66 = 2,785.95/x
  3. Step 3: Cross multiply
    7,168.50x = 10,752.66 × 2,785.95
  4. Step 4: Simplify right side
    7,168.50x = 29,956,373.13
  5. Step 5: Solve for x
    x = 29,956,373.13/7,168.50
  6. Step 6: Final answer
    x = 4,178.89

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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.