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Finding the Fourth Proportional to 5,191.91, 7,783.24 and 1,904.24

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Solution

The fourth proportional to 5,191.91, 7,783.24 and 1,904.24 is: 2,854.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.91 : 7,783.24 = 1,904.24 : x
  2. Step 2: Convert to fraction form
    5,191.91/7,783.24 = 1,904.24/x
  3. Step 3: Cross multiply
    5,191.91x = 7,783.24 × 1,904.24
  4. Step 4: Simplify right side
    5,191.91x = 14,821,156.94
  5. Step 5: Solve for x
    x = 14,821,156.94/5,191.91
  6. Step 6: Final answer
    x = 2,854.66

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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.