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Finding the Fourth Proportional to 6,102.55, 9,153.83 and 5,278.38

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Solution

The fourth proportional to 6,102.55, 9,153.83 and 5,278.38 is: 7,917.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.55 : 9,153.83 = 5,278.38 : x
  2. Step 2: Convert to fraction form
    6,102.55/9,153.83 = 5,278.38/x
  3. Step 3: Cross multiply
    6,102.55x = 9,153.83 × 5,278.38
  4. Step 4: Simplify right side
    6,102.55x = 48,317,393.20
  5. Step 5: Solve for x
    x = 48,317,393.20/6,102.55
  6. Step 6: Final answer
    x = 7,917.57

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Similar ratio
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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.