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Finding the Fourth Proportional to 21,471.30, 32,209.88 and 7,427.56

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Solution

The fourth proportional to 21,471.30, 32,209.88 and 7,427.56 is: 11,142.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,471.30 : 32,209.88 = 7,427.56 : x
  2. Step 2: Convert to fraction form
    21,471.30/32,209.88 = 7,427.56/x
  3. Step 3: Cross multiply
    21,471.30x = 32,209.88 × 7,427.56
  4. Step 4: Simplify right side
    21,471.30x = 239,240,816.29
  5. Step 5: Solve for x
    x = 239,240,816.29/21,471.30
  6. Step 6: Final answer
    x = 11,142.35

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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.