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Finding the Fourth Proportional to 7,813.01, 10,786.99 and 6,972.28

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Solution

The fourth proportional to 7,813.01, 10,786.99 and 6,972.28 is: 9,626.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.01 : 10,786.99 = 6,972.28 : x
  2. Step 2: Convert to fraction form
    7,813.01/10,786.99 = 6,972.28/x
  3. Step 3: Cross multiply
    7,813.01x = 10,786.99 × 6,972.28
  4. Step 4: Simplify right side
    7,813.01x = 75,209,878.13
  5. Step 5: Solve for x
    x = 75,209,878.13/7,813.01
  6. Step 6: Final answer
    x = 9,626.23

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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.