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Finding the Fourth Proportional to 3,406.55, 4,700.78 and 1,914.18

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Solution

The fourth proportional to 3,406.55, 4,700.78 and 1,914.18 is: 2,641.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.55 : 4,700.78 = 1,914.18 : x
  2. Step 2: Convert to fraction form
    3,406.55/4,700.78 = 1,914.18/x
  3. Step 3: Cross multiply
    3,406.55x = 4,700.78 × 1,914.18
  4. Step 4: Simplify right side
    3,406.55x = 8,998,139.06
  5. Step 5: Solve for x
    x = 8,998,139.06/3,406.55
  6. Step 6: Final answer
    x = 2,641.42

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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.