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Finding the Fourth Proportional to 7,134, 10,702.05 and 2,455.21

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Solution

The fourth proportional to 7,134, 10,702.05 and 2,455.21 is: 3,683.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134 : 10,702.05 = 2,455.21 : x
  2. Step 2: Convert to fraction form
    7,134/10,702.05 = 2,455.21/x
  3. Step 3: Cross multiply
    7,134x = 10,702.05 × 2,455.21
  4. Step 4: Simplify right side
    7,134x = 26,275,780.18
  5. Step 5: Solve for x
    x = 26,275,780.18/7,134
  6. Step 6: Final answer
    x = 3,683.18

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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.