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Finding the Fourth Proportional to 15,776.64, 21,769.92 and 9,489.60

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Solution

The fourth proportional to 15,776.64, 21,769.92 and 9,489.60 is: 13,094.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,776.64 : 21,769.92 = 9,489.60 : x
  2. Step 2: Convert to fraction form
    15,776.64/21,769.92 = 9,489.60/x
  3. Step 3: Cross multiply
    15,776.64x = 21,769.92 × 9,489.60
  4. Step 4: Simplify right side
    15,776.64x = 206,587,832.83
  5. Step 5: Solve for x
    x = 206,587,832.83/15,776.64
  6. Step 6: Final answer
    x = 13,094.54

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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.