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Finding the Fourth Proportional to 3,400.99, 4,693.43 and 1,909.01

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Solution

The fourth proportional to 3,400.99, 4,693.43 and 1,909.01 is: 2,634.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.99 : 4,693.43 = 1,909.01 : x
  2. Step 2: Convert to fraction form
    3,400.99/4,693.43 = 1,909.01/x
  3. Step 3: Cross multiply
    3,400.99x = 4,693.43 × 1,909.01
  4. Step 4: Simplify right side
    3,400.99x = 8,959,821.31
  5. Step 5: Solve for x
    x = 8,959,821.31/3,400.99
  6. Step 6: Final answer
    x = 2,634.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.