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Finding the Fourth Proportional to 7,788.69, 10,748.17 and 7,161.75

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Solution

The fourth proportional to 7,788.69, 10,748.17 and 7,161.75 is: 9,883.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788.69 : 10,748.17 = 7,161.75 : x
  2. Step 2: Convert to fraction form
    7,788.69/10,748.17 = 7,161.75/x
  3. Step 3: Cross multiply
    7,788.69x = 10,748.17 × 7,161.75
  4. Step 4: Simplify right side
    7,788.69x = 76,975,706.50
  5. Step 5: Solve for x
    x = 76,975,706.50/7,788.69
  6. Step 6: Final answer
    x = 9,883.01

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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.