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Finding the Fourth Proportional to 13,666.92, 20,502.32 and 6,647.32

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Solution

The fourth proportional to 13,666.92, 20,502.32 and 6,647.32 is: 9,971.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,666.92 : 20,502.32 = 6,647.32 : x
  2. Step 2: Convert to fraction form
    13,666.92/20,502.32 = 6,647.32/x
  3. Step 3: Cross multiply
    13,666.92x = 20,502.32 × 6,647.32
  4. Step 4: Simplify right side
    13,666.92x = 136,285,481.78
  5. Step 5: Solve for x
    x = 136,285,481.78/13,666.92
  6. Step 6: Final answer
    x = 9,971.92

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1.5x scale

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.