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Finding the Fourth Proportional to 19,323.64, 28,989.30 and 8,230.20

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Solution

The fourth proportional to 19,323.64, 28,989.30 and 8,230.20 is: 12,346.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,323.64 : 28,989.30 = 8,230.20 : x
  2. Step 2: Convert to fraction form
    19,323.64/28,989.30 = 8,230.20/x
  3. Step 3: Cross multiply
    19,323.64x = 28,989.30 × 8,230.20
  4. Step 4: Simplify right side
    19,323.64x = 238,587,736.86
  5. Step 5: Solve for x
    x = 238,587,736.86/19,323.64
  6. Step 6: Final answer
    x = 12,346.94

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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.