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Finding the Fourth Proportional to 10,905, 16,357.66 and 2,697

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Solution

The fourth proportional to 10,905, 16,357.66 and 2,697 is: 4,045.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,905 : 16,357.66 = 2,697 : x
  2. Step 2: Convert to fraction form
    10,905/16,357.66 = 2,697/x
  3. Step 3: Cross multiply
    10,905x = 16,357.66 × 2,697
  4. Step 4: Simplify right side
    10,905x = 44,116,609.02
  5. Step 5: Solve for x
    x = 44,116,609.02/10,905
  6. Step 6: Final answer
    x = 4,045.54

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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.