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Finding the Fourth Proportional to 7,184.74, 9,912.12 and 5,300.86

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Solution

The fourth proportional to 7,184.74, 9,912.12 and 5,300.86 is: 7,313.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.74 : 9,912.12 = 5,300.86 : x
  2. Step 2: Convert to fraction form
    7,184.74/9,912.12 = 5,300.86/x
  3. Step 3: Cross multiply
    7,184.74x = 9,912.12 × 5,300.86
  4. Step 4: Simplify right side
    7,184.74x = 52,542,760.42
  5. Step 5: Solve for x
    x = 52,542,760.42/7,184.74
  6. Step 6: Final answer
    x = 7,313.11

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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.