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Finding the Fourth Proportional to 51,641.64, 71,249.22 and 28,977.30

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Solution

The fourth proportional to 51,641.64, 71,249.22 and 28,977.30 is: 39,979.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,641.64 : 71,249.22 = 28,977.30 : x
  2. Step 2: Convert to fraction form
    51,641.64/71,249.22 = 28,977.30/x
  3. Step 3: Cross multiply
    51,641.64x = 71,249.22 × 28,977.30
  4. Step 4: Simplify right side
    51,641.64x = 2,064,610,022.71
  5. Step 5: Solve for x
    x = 2,064,610,022.71/51,641.64
  6. Step 6: Final answer
    x = 39,979.56

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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.