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Finding the Fourth Proportional to 20,969.04, 31,443.84 and 8,484

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Solution

The fourth proportional to 20,969.04, 31,443.84 and 8,484 is: 12,722.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,969.04 : 31,443.84 = 8,484 : x
  2. Step 2: Convert to fraction form
    20,969.04/31,443.84 = 8,484/x
  3. Step 3: Cross multiply
    20,969.04x = 31,443.84 × 8,484
  4. Step 4: Simplify right side
    20,969.04x = 266,769,538.56
  5. Step 5: Solve for x
    x = 266,769,538.56/20,969.04
  6. Step 6: Final answer
    x = 12,722.07

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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.