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Finding the Fourth Proportional to 7,805.75, 11,702.05 and 3,643.56

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Solution

The fourth proportional to 7,805.75, 11,702.05 and 3,643.56 is: 5,462.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.75 : 11,702.05 = 3,643.56 : x
  2. Step 2: Convert to fraction form
    7,805.75/11,702.05 = 3,643.56/x
  3. Step 3: Cross multiply
    7,805.75x = 11,702.05 × 3,643.56
  4. Step 4: Simplify right side
    7,805.75x = 42,637,112.19
  5. Step 5: Solve for x
    x = 42,637,112.19/7,805.75
  6. Step 6: Final answer
    x = 5,462.27

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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.