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Finding the Fourth Proportional to 2,156.85, 2,975.17 and 1,359.85

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Solution

The fourth proportional to 2,156.85, 2,975.17 and 1,359.85 is: 1,875.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.85 : 2,975.17 = 1,359.85 : x
  2. Step 2: Convert to fraction form
    2,156.85/2,975.17 = 1,359.85/x
  3. Step 3: Cross multiply
    2,156.85x = 2,975.17 × 1,359.85
  4. Step 4: Simplify right side
    2,156.85x = 4,045,784.92
  5. Step 5: Solve for x
    x = 4,045,784.92/2,156.85
  6. Step 6: Final answer
    x = 1,875.78

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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.