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Finding the Fourth Proportional to 4,901.78, 6,764.47 and 2,663.64

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Solution

The fourth proportional to 4,901.78, 6,764.47 and 2,663.64 is: 3,675.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901.78 : 6,764.47 = 2,663.64 : x
  2. Step 2: Convert to fraction form
    4,901.78/6,764.47 = 2,663.64/x
  3. Step 3: Cross multiply
    4,901.78x = 6,764.47 × 2,663.64
  4. Step 4: Simplify right side
    4,901.78x = 18,018,112.87
  5. Step 5: Solve for x
    x = 18,018,112.87/4,901.78
  6. Step 6: Final answer
    x = 3,675.83

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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.