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Finding the Fourth Proportional to 21,714.40, 32,571.84 and 6,923.20

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Solution

The fourth proportional to 21,714.40, 32,571.84 and 6,923.20 is: 10,384.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,714.40 : 32,571.84 = 6,923.20 : x
  2. Step 2: Convert to fraction form
    21,714.40/32,571.84 = 6,923.20/x
  3. Step 3: Cross multiply
    21,714.40x = 32,571.84 × 6,923.20
  4. Step 4: Simplify right side
    21,714.40x = 225,501,362.69
  5. Step 5: Solve for x
    x = 225,501,362.69/21,714.40
  6. Step 6: Final answer
    x = 10,384.88

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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.