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Finding the Fourth Proportional to 10,691.34, 14,751.48 and 6,212.34

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Solution

The fourth proportional to 10,691.34, 14,751.48 and 6,212.34 is: 8,571.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691.34 : 14,751.48 = 6,212.34 : x
  2. Step 2: Convert to fraction form
    10,691.34/14,751.48 = 6,212.34/x
  3. Step 3: Cross multiply
    10,691.34x = 14,751.48 × 6,212.34
  4. Step 4: Simplify right side
    10,691.34x = 91,641,209.26
  5. Step 5: Solve for x
    x = 91,641,209.26/10,691.34
  6. Step 6: Final answer
    x = 8,571.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.