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Finding the Fourth Proportional to 2,163, 3,247.14 and 1,702.28

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Solution

The fourth proportional to 2,163, 3,247.14 and 1,702.28 is: 2,555.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163 : 3,247.14 = 1,702.28 : x
  2. Step 2: Convert to fraction form
    2,163/3,247.14 = 1,702.28/x
  3. Step 3: Cross multiply
    2,163x = 3,247.14 × 1,702.28
  4. Step 4: Simplify right side
    2,163x = 5,527,541.48
  5. Step 5: Solve for x
    x = 5,527,541.48/2,163
  6. Step 6: Final answer
    x = 2,555.50

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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.