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Finding the Fourth Proportional to 21,847.16, 32,751.66 and 7,805

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Solution

The fourth proportional to 21,847.16, 32,751.66 and 7,805 is: 11,700.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,847.16 : 32,751.66 = 7,805 : x
  2. Step 2: Convert to fraction form
    21,847.16/32,751.66 = 7,805/x
  3. Step 3: Cross multiply
    21,847.16x = 32,751.66 × 7,805
  4. Step 4: Simplify right side
    21,847.16x = 255,626,706.30
  5. Step 5: Solve for x
    x = 255,626,706.30/21,847.16
  6. Step 6: Final answer
    x = 11,700.68

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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.