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Finding the Fourth Proportional to 10,372.50, 15,558.75 and 3,447

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Solution

The fourth proportional to 10,372.50, 15,558.75 and 3,447 is: 5,170.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,372.50 : 15,558.75 = 3,447 : x
  2. Step 2: Convert to fraction form
    10,372.50/15,558.75 = 3,447/x
  3. Step 3: Cross multiply
    10,372.50x = 15,558.75 × 3,447
  4. Step 4: Simplify right side
    10,372.50x = 53,631,011.25
  5. Step 5: Solve for x
    x = 53,631,011.25/10,372.50
  6. Step 6: Final answer
    x = 5,170.50

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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.