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Finding the Fourth Proportional to 51,529, 77,265.10 and 15,980.48

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Solution

The fourth proportional to 51,529, 77,265.10 and 15,980.48 is: 23,961.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,529 : 77,265.10 = 15,980.48 : x
  2. Step 2: Convert to fraction form
    51,529/77,265.10 = 15,980.48/x
  3. Step 3: Cross multiply
    51,529x = 77,265.10 × 15,980.48
  4. Step 4: Simplify right side
    51,529x = 1,234,733,385.25
  5. Step 5: Solve for x
    x = 1,234,733,385.25/51,529
  6. Step 6: Final answer
    x = 23,961.91

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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.