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Finding the Fourth Proportional to 11,341.20, 16,978.20 and 8,432.40

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Solution

The fourth proportional to 11,341.20, 16,978.20 and 8,432.40 is: 12,623.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,341.20 : 16,978.20 = 8,432.40 : x
  2. Step 2: Convert to fraction form
    11,341.20/16,978.20 = 8,432.40/x
  3. Step 3: Cross multiply
    11,341.20x = 16,978.20 × 8,432.40
  4. Step 4: Simplify right side
    11,341.20x = 143,166,973.68
  5. Step 5: Solve for x
    x = 143,166,973.68/11,341.20
  6. Step 6: Final answer
    x = 12,623.62

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1.5x scale

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.