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Finding the Fourth Proportional to 2,086.84, 3,130.32 and 626.07

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Solution

The fourth proportional to 2,086.84, 3,130.32 and 626.07 is: 939.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.84 : 3,130.32 = 626.07 : x
  2. Step 2: Convert to fraction form
    2,086.84/3,130.32 = 626.07/x
  3. Step 3: Cross multiply
    2,086.84x = 3,130.32 × 626.07
  4. Step 4: Simplify right side
    2,086.84x = 1,959,799.44
  5. Step 5: Solve for x
    x = 1,959,799.44/2,086.84
  6. Step 6: Final answer
    x = 939.13

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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.