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Finding the Fourth Proportional to 21,990.63, 32,984.87 and 7,206.51

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Solution

The fourth proportional to 21,990.63, 32,984.87 and 7,206.51 is: 10,809.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,990.63 : 32,984.87 = 7,206.51 : x
  2. Step 2: Convert to fraction form
    21,990.63/32,984.87 = 7,206.51/x
  3. Step 3: Cross multiply
    21,990.63x = 32,984.87 × 7,206.51
  4. Step 4: Simplify right side
    21,990.63x = 237,705,759.47
  5. Step 5: Solve for x
    x = 237,705,759.47/21,990.63
  6. Step 6: Final answer
    x = 10,809.41

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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.