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Finding the Fourth Proportional to 2,535.87, 3,803.91 and 687.00

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Solution

The fourth proportional to 2,535.87, 3,803.91 and 687.00 is: 1,030.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.87 : 3,803.91 = 687.00 : x
  2. Step 2: Convert to fraction form
    2,535.87/3,803.91 = 687.00/x
  3. Step 3: Cross multiply
    2,535.87x = 3,803.91 × 687.00
  4. Step 4: Simplify right side
    2,535.87x = 2,613,297.86
  5. Step 5: Solve for x
    x = 2,613,297.86/2,535.87
  6. Step 6: Final answer
    x = 1,030.53

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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.