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Finding the Fourth Proportional to 21,709.80, 32,564.70 and 6,918.60

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Solution

The fourth proportional to 21,709.80, 32,564.70 and 6,918.60 is: 10,377.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,709.80 : 32,564.70 = 6,918.60 : x
  2. Step 2: Convert to fraction form
    21,709.80/32,564.70 = 6,918.60/x
  3. Step 3: Cross multiply
    21,709.80x = 32,564.70 × 6,918.60
  4. Step 4: Simplify right side
    21,709.80x = 225,302,133.42
  5. Step 5: Solve for x
    x = 225,302,133.42/21,709.80
  6. Step 6: Final answer
    x = 10,377.90

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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.