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Finding the Fourth Proportional to 6,120.68, 9,153 and 4,561.77

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Solution

The fourth proportional to 6,120.68, 9,153 and 4,561.77 is: 6,821.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,120.68 : 9,153 = 4,561.77 : x
  2. Step 2: Convert to fraction form
    6,120.68/9,153 = 4,561.77/x
  3. Step 3: Cross multiply
    6,120.68x = 9,153 × 4,561.77
  4. Step 4: Simplify right side
    6,120.68x = 41,753,880.81
  5. Step 5: Solve for x
    x = 41,753,880.81/6,120.68
  6. Step 6: Final answer
    x = 6,821.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.