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Finding the Fourth Proportional to 12,202.80, 18,320.40 and 9,740.40

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Solution

The fourth proportional to 12,202.80, 18,320.40 and 9,740.40 is: 14,623.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.80 : 18,320.40 = 9,740.40 : x
  2. Step 2: Convert to fraction form
    12,202.80/18,320.40 = 9,740.40/x
  3. Step 3: Cross multiply
    12,202.80x = 18,320.40 × 9,740.40
  4. Step 4: Simplify right side
    12,202.80x = 178,448,024.16
  5. Step 5: Solve for x
    x = 178,448,024.16/12,202.80
  6. Step 6: Final answer
    x = 14,623.53

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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.