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Finding the Fourth Proportional to 19,322.76, 28,989.19 and 5,471.76

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Solution

The fourth proportional to 19,322.76, 28,989.19 and 5,471.76 is: 8,209.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,322.76 : 28,989.19 = 5,471.76 : x
  2. Step 2: Convert to fraction form
    19,322.76/28,989.19 = 5,471.76/x
  3. Step 3: Cross multiply
    19,322.76x = 28,989.19 × 5,471.76
  4. Step 4: Simplify right side
    19,322.76x = 158,621,975.04
  5. Step 5: Solve for x
    x = 158,621,975.04/19,322.76
  6. Step 6: Final answer
    x = 8,209.07

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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.