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Finding the Fourth Proportional to 21,709.47, 32,563.83 and 6,918.18

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Solution

The fourth proportional to 21,709.47, 32,563.83 and 6,918.18 is: 10,377.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,709.47 : 32,563.83 = 6,918.18 : x
  2. Step 2: Convert to fraction form
    21,709.47/32,563.83 = 6,918.18/x
  3. Step 3: Cross multiply
    21,709.47x = 32,563.83 × 6,918.18
  4. Step 4: Simplify right side
    21,709.47x = 225,282,437.43
  5. Step 5: Solve for x
    x = 225,282,437.43/21,709.47
  6. Step 6: Final answer
    x = 10,377.15

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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.