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Finding the Fourth Proportional to 2,185.81, 3,278.21 and 625.77

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Solution

The fourth proportional to 2,185.81, 3,278.21 and 625.77 is: 938.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.81 : 3,278.21 = 625.77 : x
  2. Step 2: Convert to fraction form
    2,185.81/3,278.21 = 625.77/x
  3. Step 3: Cross multiply
    2,185.81x = 3,278.21 × 625.77
  4. Step 4: Simplify right side
    2,185.81x = 2,051,402.34
  5. Step 5: Solve for x
    x = 2,051,402.34/2,185.81
  6. Step 6: Final answer
    x = 938.51

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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.