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Finding the Fourth Proportional to 3,400.61, 5,100.91 and 935.69

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Solution

The fourth proportional to 3,400.61, 5,100.91 and 935.69 is: 1,403.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.61 : 5,100.91 = 935.69 : x
  2. Step 2: Convert to fraction form
    3,400.61/5,100.91 = 935.69/x
  3. Step 3: Cross multiply
    3,400.61x = 5,100.91 × 935.69
  4. Step 4: Simplify right side
    3,400.61x = 4,772,842.63
  5. Step 5: Solve for x
    x = 4,772,842.63/3,400.61
  6. Step 6: Final answer
    x = 1,403.53

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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.