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Finding the Fourth Proportional to 7,711.40, 11,567.10 and 7,662.80

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Solution

The fourth proportional to 7,711.40, 11,567.10 and 7,662.80 is: 11,494.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.40 : 11,567.10 = 7,662.80 : x
  2. Step 2: Convert to fraction form
    7,711.40/11,567.10 = 7,662.80/x
  3. Step 3: Cross multiply
    7,711.40x = 11,567.10 × 7,662.80
  4. Step 4: Simplify right side
    7,711.40x = 88,636,373.88
  5. Step 5: Solve for x
    x = 88,636,373.88/7,711.40
  6. Step 6: Final answer
    x = 11,494.20

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Similar ratio
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1.5x scale

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.