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Finding the Fourth Proportional to 2,086.55, 3,130.33 and 625.71

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Solution

The fourth proportional to 2,086.55, 3,130.33 and 625.71 is: 938.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.55 : 3,130.33 = 625.71 : x
  2. Step 2: Convert to fraction form
    2,086.55/3,130.33 = 625.71/x
  3. Step 3: Cross multiply
    2,086.55x = 3,130.33 × 625.71
  4. Step 4: Simplify right side
    2,086.55x = 1,958,678.78
  5. Step 5: Solve for x
    x = 1,958,678.78/2,086.55
  6. Step 6: Final answer
    x = 938.72

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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.