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Finding the Fourth Proportional to 12,230.40, 18,355.20 and 5,657.40

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Solution

The fourth proportional to 12,230.40, 18,355.20 and 5,657.40 is: 8,490.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,230.40 : 18,355.20 = 5,657.40 : x
  2. Step 2: Convert to fraction form
    12,230.40/18,355.20 = 5,657.40/x
  3. Step 3: Cross multiply
    12,230.40x = 18,355.20 × 5,657.40
  4. Step 4: Simplify right side
    12,230.40x = 103,842,708.48
  5. Step 5: Solve for x
    x = 103,842,708.48/12,230.40
  6. Step 6: Final answer
    x = 8,490.54

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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.