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Finding the Fourth Proportional to 19,942.40, 29,902.80 and 8,242.40

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Solution

The fourth proportional to 19,942.40, 29,902.80 and 8,242.40 is: 12,359.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,942.40 : 29,902.80 = 8,242.40 : x
  2. Step 2: Convert to fraction form
    19,942.40/29,902.80 = 8,242.40/x
  3. Step 3: Cross multiply
    19,942.40x = 29,902.80 × 8,242.40
  4. Step 4: Simplify right side
    19,942.40x = 246,470,838.72
  5. Step 5: Solve for x
    x = 246,470,838.72/19,942.40
  6. Step 6: Final answer
    x = 12,359.14

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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.