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Finding the Fourth Proportional to 21,680.76, 32,509.62 and 9,984

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Solution

The fourth proportional to 21,680.76, 32,509.62 and 9,984 is: 14,970.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,680.76 : 32,509.62 = 9,984 : x
  2. Step 2: Convert to fraction form
    21,680.76/32,509.62 = 9,984/x
  3. Step 3: Cross multiply
    21,680.76x = 32,509.62 × 9,984
  4. Step 4: Simplify right side
    21,680.76x = 324,576,046.08
  5. Step 5: Solve for x
    x = 324,576,046.08/21,680.76
  6. Step 6: Final answer
    x = 14,970.70

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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.