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Finding the Fourth Proportional to 2,086.64, 3,130.48 and 625.82

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Solution

The fourth proportional to 2,086.64, 3,130.48 and 625.82 is: 938.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.64 : 3,130.48 = 625.82 : x
  2. Step 2: Convert to fraction form
    2,086.64/3,130.48 = 625.82/x
  3. Step 3: Cross multiply
    2,086.64x = 3,130.48 × 625.82
  4. Step 4: Simplify right side
    2,086.64x = 1,959,116.99
  5. Step 5: Solve for x
    x = 1,959,116.99/2,086.64
  6. Step 6: Final answer
    x = 938.89

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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.