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Finding the Fourth Proportional to 10,945, 16,417.50 and 2,737

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Solution

The fourth proportional to 10,945, 16,417.50 and 2,737 is: 4,105.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,945 : 16,417.50 = 2,737 : x
  2. Step 2: Convert to fraction form
    10,945/16,417.50 = 2,737/x
  3. Step 3: Cross multiply
    10,945x = 16,417.50 × 2,737
  4. Step 4: Simplify right side
    10,945x = 44,934,697.50
  5. Step 5: Solve for x
    x = 44,934,697.50/10,945
  6. Step 6: Final answer
    x = 4,105.50

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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.