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Finding the Fourth Proportional to 51,048, 70,449.84 and 28,692

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Solution

The fourth proportional to 51,048, 70,449.84 and 28,692 is: 39,596.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,048 : 70,449.84 = 28,692 : x
  2. Step 2: Convert to fraction form
    51,048/70,449.84 = 28,692/x
  3. Step 3: Cross multiply
    51,048x = 70,449.84 × 28,692
  4. Step 4: Simplify right side
    51,048x = 2,021,346,809.28
  5. Step 5: Solve for x
    x = 2,021,346,809.28/51,048
  6. Step 6: Final answer
    x = 39,596.98

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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.