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Finding the Fourth Proportional to 2,393.87, 3,590.10 and 833.49

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Solution

The fourth proportional to 2,393.87, 3,590.10 and 833.49 is: 1,249.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.87 : 3,590.10 = 833.49 : x
  2. Step 2: Convert to fraction form
    2,393.87/3,590.10 = 833.49/x
  3. Step 3: Cross multiply
    2,393.87x = 3,590.10 × 833.49
  4. Step 4: Simplify right side
    2,393.87x = 2,992,312.45
  5. Step 5: Solve for x
    x = 2,992,312.45/2,393.87
  6. Step 6: Final answer
    x = 1,249.99

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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.