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Finding the Fourth Proportional to 7,702.50, 11,554.29 and 3,085.50

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Solution

The fourth proportional to 7,702.50, 11,554.29 and 3,085.50 is: 4,628.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.50 : 11,554.29 = 3,085.50 : x
  2. Step 2: Convert to fraction form
    7,702.50/11,554.29 = 3,085.50/x
  3. Step 3: Cross multiply
    7,702.50x = 11,554.29 × 3,085.50
  4. Step 4: Simplify right side
    7,702.50x = 35,650,761.80
  5. Step 5: Solve for x
    x = 35,650,761.80/7,702.50
  6. Step 6: Final answer
    x = 4,628.47

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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.