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Finding the Fourth Proportional to 7,134.39, 10,702.17 and 1,869.39

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Solution

The fourth proportional to 7,134.39, 10,702.17 and 1,869.39 is: 2,804.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.39 : 10,702.17 = 1,869.39 : x
  2. Step 2: Convert to fraction form
    7,134.39/10,702.17 = 1,869.39/x
  3. Step 3: Cross multiply
    7,134.39x = 10,702.17 × 1,869.39
  4. Step 4: Simplify right side
    7,134.39x = 20,006,529.58
  5. Step 5: Solve for x
    x = 20,006,529.58/7,134.39
  6. Step 6: Final answer
    x = 2,804.24

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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.