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Finding the Fourth Proportional to 10,953, 16,429.50 and 2,745

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Solution

The fourth proportional to 10,953, 16,429.50 and 2,745 is: 4,117.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,953 : 16,429.50 = 2,745 : x
  2. Step 2: Convert to fraction form
    10,953/16,429.50 = 2,745/x
  3. Step 3: Cross multiply
    10,953x = 16,429.50 × 2,745
  4. Step 4: Simplify right side
    10,953x = 45,098,977.50
  5. Step 5: Solve for x
    x = 45,098,977.50/10,953
  6. Step 6: Final answer
    x = 4,117.50

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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.