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Finding the Fourth Proportional to 10,903, 16,354.62 and 2,695

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Solution

The fourth proportional to 10,903, 16,354.62 and 2,695 is: 4,042.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,903 : 16,354.62 = 2,695 : x
  2. Step 2: Convert to fraction form
    10,903/16,354.62 = 2,695/x
  3. Step 3: Cross multiply
    10,903x = 16,354.62 × 2,695
  4. Step 4: Simplify right side
    10,903x = 44,075,700.90
  5. Step 5: Solve for x
    x = 44,075,700.90/10,903
  6. Step 6: Final answer
    x = 4,042.53

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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.