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Finding the Fourth Proportional to 6,776.40, 10,144.80 and 4,832.40

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Solution

The fourth proportional to 6,776.40, 10,144.80 and 4,832.40 is: 7,234.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.40 : 10,144.80 = 4,832.40 : x
  2. Step 2: Convert to fraction form
    6,776.40/10,144.80 = 4,832.40/x
  3. Step 3: Cross multiply
    6,776.40x = 10,144.80 × 4,832.40
  4. Step 4: Simplify right side
    6,776.40x = 49,023,731.52
  5. Step 5: Solve for x
    x = 49,023,731.52/6,776.40
  6. Step 6: Final answer
    x = 7,234.48

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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.