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Finding the Fourth Proportional to 5,154.80, 7,749.36 and 4,187.64

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Solution

The fourth proportional to 5,154.80, 7,749.36 and 4,187.64 is: 6,295.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.80 : 7,749.36 = 4,187.64 : x
  2. Step 2: Convert to fraction form
    5,154.80/7,749.36 = 4,187.64/x
  3. Step 3: Cross multiply
    5,154.80x = 7,749.36 × 4,187.64
  4. Step 4: Simplify right side
    5,154.80x = 32,451,529.91
  5. Step 5: Solve for x
    x = 32,451,529.91/5,154.80
  6. Step 6: Final answer
    x = 6,295.40

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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.