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Finding the Fourth Proportional to 7,805.53, 11,702.80 and 2,874.53

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Solution

The fourth proportional to 7,805.53, 11,702.80 and 2,874.53 is: 4,309.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.53 : 11,702.80 = 2,874.53 : x
  2. Step 2: Convert to fraction form
    7,805.53/11,702.80 = 2,874.53/x
  3. Step 3: Cross multiply
    7,805.53x = 11,702.80 × 2,874.53
  4. Step 4: Simplify right side
    7,805.53x = 33,639,983.98
  5. Step 5: Solve for x
    x = 33,639,983.98/7,805.53
  6. Step 6: Final answer
    x = 4,309.76

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1.5x scale

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.