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Finding the Fourth Proportional to 2,310, 3,188.12 and 1,689.84

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Solution

The fourth proportional to 2,310, 3,188.12 and 1,689.84 is: 2,332.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310 : 3,188.12 = 1,689.84 : x
  2. Step 2: Convert to fraction form
    2,310/3,188.12 = 1,689.84/x
  3. Step 3: Cross multiply
    2,310x = 3,188.12 × 1,689.84
  4. Step 4: Simplify right side
    2,310x = 5,387,412.70
  5. Step 5: Solve for x
    x = 5,387,412.70/2,310
  6. Step 6: Final answer
    x = 2,332.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.