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Finding the Fourth Proportional to 7,727.80, 10,833.50 and 7,727.80

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Solution

The fourth proportional to 7,727.80, 10,833.50 and 7,727.80 is: 10,833.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727.80 : 10,833.50 = 7,727.80 : x
  2. Step 2: Convert to fraction form
    7,727.80/10,833.50 = 7,727.80/x
  3. Step 3: Cross multiply
    7,727.80x = 10,833.50 × 7,727.80
  4. Step 4: Simplify right side
    7,727.80x = 83,719,121.30
  5. Step 5: Solve for x
    x = 83,719,121.30/7,727.80
  6. Step 6: Final answer
    x = 10,833.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.