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Finding the Fourth Proportional to 7,770.58, 10,720 and 5,251.78

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Solution

The fourth proportional to 7,770.58, 10,720 and 5,251.78 is: 7,245.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.58 : 10,720 = 5,251.78 : x
  2. Step 2: Convert to fraction form
    7,770.58/10,720 = 5,251.78/x
  3. Step 3: Cross multiply
    7,770.58x = 10,720 × 5,251.78
  4. Step 4: Simplify right side
    7,770.58x = 56,299,081.60
  5. Step 5: Solve for x
    x = 56,299,081.60/7,770.58
  6. Step 6: Final answer
    x = 7,245.16

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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.