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Finding the Fourth Proportional to 7,770.68, 10,724.31 and 4,745.63

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Solution

The fourth proportional to 7,770.68, 10,724.31 and 4,745.63 is: 6,549.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.68 : 10,724.31 = 4,745.63 : x
  2. Step 2: Convert to fraction form
    7,770.68/10,724.31 = 4,745.63/x
  3. Step 3: Cross multiply
    7,770.68x = 10,724.31 × 4,745.63
  4. Step 4: Simplify right side
    7,770.68x = 50,893,645.94
  5. Step 5: Solve for x
    x = 50,893,645.94/7,770.68
  6. Step 6: Final answer
    x = 6,549.45

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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.