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Finding the Fourth Proportional to 21,980.76, 32,984.13 and 8,139.48

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Solution

The fourth proportional to 21,980.76, 32,984.13 and 8,139.48 is: 12,214.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,980.76 : 32,984.13 = 8,139.48 : x
  2. Step 2: Convert to fraction form
    21,980.76/32,984.13 = 8,139.48/x
  3. Step 3: Cross multiply
    21,980.76x = 32,984.13 × 8,139.48
  4. Step 4: Simplify right side
    21,980.76x = 268,473,666.45
  5. Step 5: Solve for x
    x = 268,473,666.45/21,980.76
  6. Step 6: Final answer
    x = 12,214.03

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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.