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Finding the Fourth Proportional to 22,812.40, 34,203.80 and 9,661.20

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Solution

The fourth proportional to 22,812.40, 34,203.80 and 9,661.20 is: 14,485.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,812.40 : 34,203.80 = 9,661.20 : x
  2. Step 2: Convert to fraction form
    22,812.40/34,203.80 = 9,661.20/x
  3. Step 3: Cross multiply
    22,812.40x = 34,203.80 × 9,661.20
  4. Step 4: Simplify right side
    22,812.40x = 330,449,752.56
  5. Step 5: Solve for x
    x = 330,449,752.56/22,812.40
  6. Step 6: Final answer
    x = 14,485.53

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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.