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Finding the Fourth Proportional to 7,702.50, 11,552.59 and 2,155.13

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Solution

The fourth proportional to 7,702.50, 11,552.59 and 2,155.13 is: 3,232.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.50 : 11,552.59 = 2,155.13 : x
  2. Step 2: Convert to fraction form
    7,702.50/11,552.59 = 2,155.13/x
  3. Step 3: Cross multiply
    7,702.50x = 11,552.59 × 2,155.13
  4. Step 4: Simplify right side
    7,702.50x = 24,897,270.14
  5. Step 5: Solve for x
    x = 24,897,270.14/7,702.50
  6. Step 6: Final answer
    x = 3,232.36

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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.