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Finding the Fourth Proportional to 7,805.30, 10,792.06 and 6,821.16

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Solution

The fourth proportional to 7,805.30, 10,792.06 and 6,821.16 is: 9,431.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.30 : 10,792.06 = 6,821.16 : x
  2. Step 2: Convert to fraction form
    7,805.30/10,792.06 = 6,821.16/x
  3. Step 3: Cross multiply
    7,805.30x = 10,792.06 × 6,821.16
  4. Step 4: Simplify right side
    7,805.30x = 73,614,367.99
  5. Step 5: Solve for x
    x = 73,614,367.99/7,805.30
  6. Step 6: Final answer
    x = 9,431.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.