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Finding the Fourth Proportional to 21,570.80, 32,356.22 and 6,781.01

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Solution

The fourth proportional to 21,570.80, 32,356.22 and 6,781.01 is: 10,171.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,570.80 : 32,356.22 = 6,781.01 : x
  2. Step 2: Convert to fraction form
    21,570.80/32,356.22 = 6,781.01/x
  3. Step 3: Cross multiply
    21,570.80x = 32,356.22 × 6,781.01
  4. Step 4: Simplify right side
    21,570.80x = 219,407,655.70
  5. Step 5: Solve for x
    x = 219,407,655.70/21,570.80
  6. Step 6: Final answer
    x = 10,171.51

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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.