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Finding the Fourth Proportional to 1,685.86, 2,519.90 and 1,464.74

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Solution

The fourth proportional to 1,685.86, 2,519.90 and 1,464.74 is: 2,189.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.86 : 2,519.90 = 1,464.74 : x
  2. Step 2: Convert to fraction form
    1,685.86/2,519.90 = 1,464.74/x
  3. Step 3: Cross multiply
    1,685.86x = 2,519.90 × 1,464.74
  4. Step 4: Simplify right side
    1,685.86x = 3,690,998.33
  5. Step 5: Solve for x
    x = 3,690,998.33/1,685.86
  6. Step 6: Final answer
    x = 2,189.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.