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Finding the Fourth Proportional to 15,493.87, 21,378 and 8,777.96

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Solution

The fourth proportional to 15,493.87, 21,378 and 8,777.96 is: 12,111.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,493.87 : 21,378 = 8,777.96 : x
  2. Step 2: Convert to fraction form
    15,493.87/21,378 = 8,777.96/x
  3. Step 3: Cross multiply
    15,493.87x = 21,378 × 8,777.96
  4. Step 4: Simplify right side
    15,493.87x = 187,655,228.88
  5. Step 5: Solve for x
    x = 187,655,228.88/15,493.87
  6. Step 6: Final answer
    x = 12,111.58

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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.