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Finding the Fourth Proportional to 5,191.80, 7,785.78 and 1,904.04

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Solution

The fourth proportional to 5,191.80, 7,785.78 and 1,904.04 is: 2,855.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.80 : 7,785.78 = 1,904.04 : x
  2. Step 2: Convert to fraction form
    5,191.80/7,785.78 = 1,904.04/x
  3. Step 3: Cross multiply
    5,191.80x = 7,785.78 × 1,904.04
  4. Step 4: Simplify right side
    5,191.80x = 14,824,436.55
  5. Step 5: Solve for x
    x = 14,824,436.55/5,191.80
  6. Step 6: Final answer
    x = 2,855.36

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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.