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Finding the Fourth Proportional to 13,377, 20,065.50 and 3,649

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Solution

The fourth proportional to 13,377, 20,065.50 and 3,649 is: 5,473.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,377 : 20,065.50 = 3,649 : x
  2. Step 2: Convert to fraction form
    13,377/20,065.50 = 3,649/x
  3. Step 3: Cross multiply
    13,377x = 20,065.50 × 3,649
  4. Step 4: Simplify right side
    13,377x = 73,219,009.50
  5. Step 5: Solve for x
    x = 73,219,009.50/13,377
  6. Step 6: Final answer
    x = 5,473.50

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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.