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Finding the Fourth Proportional to 2,156.32, 3,234.95 and 695.49

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Solution

The fourth proportional to 2,156.32, 3,234.95 and 695.49 is: 1,043.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.32 : 3,234.95 = 695.49 : x
  2. Step 2: Convert to fraction form
    2,156.32/3,234.95 = 695.49/x
  3. Step 3: Cross multiply
    2,156.32x = 3,234.95 × 695.49
  4. Step 4: Simplify right side
    2,156.32x = 2,249,875.38
  5. Step 5: Solve for x
    x = 2,249,875.38/2,156.32
  6. Step 6: Final answer
    x = 1,043.39

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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.