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Finding the Fourth Proportional to 7,711.80, 11,507.12 and 7,241.60

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Solution

The fourth proportional to 7,711.80, 11,507.12 and 7,241.60 is: 10,805.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.80 : 11,507.12 = 7,241.60 : x
  2. Step 2: Convert to fraction form
    7,711.80/11,507.12 = 7,241.60/x
  3. Step 3: Cross multiply
    7,711.80x = 11,507.12 × 7,241.60
  4. Step 4: Simplify right side
    7,711.80x = 83,329,866.45
  5. Step 5: Solve for x
    x = 83,329,866.45/7,711.80
  6. Step 6: Final answer
    x = 10,805.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.