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Finding the Fourth Proportional to 2,425.11, 3,637.41 and 782.84

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Solution

The fourth proportional to 2,425.11, 3,637.41 and 782.84 is: 1,174.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.11 : 3,637.41 = 782.84 : x
  2. Step 2: Convert to fraction form
    2,425.11/3,637.41 = 782.84/x
  3. Step 3: Cross multiply
    2,425.11x = 3,637.41 × 782.84
  4. Step 4: Simplify right side
    2,425.11x = 2,847,491.86
  5. Step 5: Solve for x
    x = 2,847,491.86/2,425.11
  6. Step 6: Final answer
    x = 1,174.17

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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.