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Finding the Fourth Proportional to 21,641.56, 32,462.34 and 7,790.20

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Solution

The fourth proportional to 21,641.56, 32,462.34 and 7,790.20 is: 11,685.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,641.56 : 32,462.34 = 7,790.20 : x
  2. Step 2: Convert to fraction form
    21,641.56/32,462.34 = 7,790.20/x
  3. Step 3: Cross multiply
    21,641.56x = 32,462.34 × 7,790.20
  4. Step 4: Simplify right side
    21,641.56x = 252,888,121.07
  5. Step 5: Solve for x
    x = 252,888,121.07/21,641.56
  6. Step 6: Final answer
    x = 11,685.30

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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.