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Finding the Fourth Proportional to 21,671.43, 32,506.67 and 9,984.65

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Solution

The fourth proportional to 21,671.43, 32,506.67 and 9,984.65 is: 14,976.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,671.43 : 32,506.67 = 9,984.65 : x
  2. Step 2: Convert to fraction form
    21,671.43/32,506.67 = 9,984.65/x
  3. Step 3: Cross multiply
    21,671.43x = 32,506.67 × 9,984.65
  4. Step 4: Simplify right side
    21,671.43x = 324,567,510.16
  5. Step 5: Solve for x
    x = 324,567,510.16/21,671.43
  6. Step 6: Final answer
    x = 14,976.75

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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.