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Finding the Fourth Proportional to 3,400.99, 5,100.65 and 935.69

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Solution

The fourth proportional to 3,400.99, 5,100.65 and 935.69 is: 1,403.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.99 : 5,100.65 = 935.69 : x
  2. Step 2: Convert to fraction form
    3,400.99/5,100.65 = 935.69/x
  3. Step 3: Cross multiply
    3,400.99x = 5,100.65 × 935.69
  4. Step 4: Simplify right side
    3,400.99x = 4,772,622.52
  5. Step 5: Solve for x
    x = 4,772,622.52/3,400.99
  6. Step 6: Final answer
    x = 1,403.30

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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.