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Finding the Fourth Proportional to 20,095.79, 30,143.68 and 6,940.98

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Solution

The fourth proportional to 20,095.79, 30,143.68 and 6,940.98 is: 10,411.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,095.79 : 30,143.68 = 6,940.98 : x
  2. Step 2: Convert to fraction form
    20,095.79/30,143.68 = 6,940.98/x
  3. Step 3: Cross multiply
    20,095.79x = 30,143.68 × 6,940.98
  4. Step 4: Simplify right side
    20,095.79x = 209,226,662.65
  5. Step 5: Solve for x
    x = 209,226,662.65/20,095.79
  6. Step 6: Final answer
    x = 10,411.47

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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.