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Finding the Fourth Proportional to 21,661.37, 32,491.80 and 6,870.42

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Solution

The fourth proportional to 21,661.37, 32,491.80 and 6,870.42 is: 10,305.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,661.37 : 32,491.80 = 6,870.42 : x
  2. Step 2: Convert to fraction form
    21,661.37/32,491.80 = 6,870.42/x
  3. Step 3: Cross multiply
    21,661.37x = 32,491.80 × 6,870.42
  4. Step 4: Simplify right side
    21,661.37x = 223,232,221.17
  5. Step 5: Solve for x
    x = 223,232,221.17/21,661.37
  6. Step 6: Final answer
    x = 10,305.54

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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.