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Finding the Fourth Proportional to 7,770.69, 11,581.07 and 7,758.34

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Solution

The fourth proportional to 7,770.69, 11,581.07 and 7,758.34 is: 11,562.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.69 : 11,581.07 = 7,758.34 : x
  2. Step 2: Convert to fraction form
    7,770.69/11,581.07 = 7,758.34/x
  3. Step 3: Cross multiply
    7,770.69x = 11,581.07 × 7,758.34
  4. Step 4: Simplify right side
    7,770.69x = 89,849,810.88
  5. Step 5: Solve for x
    x = 89,849,810.88/7,770.69
  6. Step 6: Final answer
    x = 11,562.66

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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.