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Finding the Fourth Proportional to 51,297, 70,789.96 and 28,941

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Solution

The fourth proportional to 51,297, 70,789.96 and 28,941 is: 39,938.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,297 : 70,789.96 = 28,941 : x
  2. Step 2: Convert to fraction form
    51,297/70,789.96 = 28,941/x
  3. Step 3: Cross multiply
    51,297x = 70,789.96 × 28,941
  4. Step 4: Simplify right side
    51,297x = 2,048,732,232.36
  5. Step 5: Solve for x
    x = 2,048,732,232.36/51,297
  6. Step 6: Final answer
    x = 39,938.64

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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.