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Finding the Fourth Proportional to 4,753.78, 7,130.78 and 1,633.76

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Solution

The fourth proportional to 4,753.78, 7,130.78 and 1,633.76 is: 2,450.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.78 : 7,130.78 = 1,633.76 : x
  2. Step 2: Convert to fraction form
    4,753.78/7,130.78 = 1,633.76/x
  3. Step 3: Cross multiply
    4,753.78x = 7,130.78 × 1,633.76
  4. Step 4: Simplify right side
    4,753.78x = 11,649,983.13
  5. Step 5: Solve for x
    x = 11,649,983.13/4,753.78
  6. Step 6: Final answer
    x = 2,450.68

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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.