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Finding the Fourth Proportional to 7,777.50, 10,734.63 and 4,589.61

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Solution

The fourth proportional to 7,777.50, 10,734.63 and 4,589.61 is: 6,334.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.50 : 10,734.63 = 4,589.61 : x
  2. Step 2: Convert to fraction form
    7,777.50/10,734.63 = 4,589.61/x
  3. Step 3: Cross multiply
    7,777.50x = 10,734.63 × 4,589.61
  4. Step 4: Simplify right side
    7,777.50x = 49,267,742.25
  5. Step 5: Solve for x
    x = 49,267,742.25/7,777.50
  6. Step 6: Final answer
    x = 6,334.65

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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.