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Finding the Fourth Proportional to 5,111.99, 7,668.04 and 1,825.11

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Solution

The fourth proportional to 5,111.99, 7,668.04 and 1,825.11 is: 2,737.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111.99 : 7,668.04 = 1,825.11 : x
  2. Step 2: Convert to fraction form
    5,111.99/7,668.04 = 1,825.11/x
  3. Step 3: Cross multiply
    5,111.99x = 7,668.04 × 1,825.11
  4. Step 4: Simplify right side
    5,111.99x = 13,995,011.92
  5. Step 5: Solve for x
    x = 13,995,011.92/5,111.99
  6. Step 6: Final answer
    x = 2,737.68

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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.