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Finding the Fourth Proportional to 7,855.61, 11,785.61 and 3,178.91

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Solution

The fourth proportional to 7,855.61, 11,785.61 and 3,178.91 is: 4,769.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.61 : 11,785.61 = 3,178.91 : x
  2. Step 2: Convert to fraction form
    7,855.61/11,785.61 = 3,178.91/x
  3. Step 3: Cross multiply
    7,855.61x = 11,785.61 × 3,178.91
  4. Step 4: Simplify right side
    7,855.61x = 37,465,348.36
  5. Step 5: Solve for x
    x = 37,465,348.36/7,855.61
  6. Step 6: Final answer
    x = 4,769.25

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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.