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Finding the Fourth Proportional to 4,950.78, 7,427.93 and 1,663.86

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Solution

The fourth proportional to 4,950.78, 7,427.93 and 1,663.86 is: 2,496.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,950.78 : 7,427.93 = 1,663.86 : x
  2. Step 2: Convert to fraction form
    4,950.78/7,427.93 = 1,663.86/x
  3. Step 3: Cross multiply
    4,950.78x = 7,427.93 × 1,663.86
  4. Step 4: Simplify right side
    4,950.78x = 12,359,027.29
  5. Step 5: Solve for x
    x = 12,359,027.29/4,950.78
  6. Step 6: Final answer
    x = 2,496.38

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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.