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Finding the Fourth Proportional to 13,530.70, 20,283.09 and 6,942.16

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Solution

The fourth proportional to 13,530.70, 20,283.09 and 6,942.16 is: 10,406.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,530.70 : 20,283.09 = 6,942.16 : x
  2. Step 2: Convert to fraction form
    13,530.70/20,283.09 = 6,942.16/x
  3. Step 3: Cross multiply
    13,530.70x = 20,283.09 × 6,942.16
  4. Step 4: Simplify right side
    13,530.70x = 140,808,456.07
  5. Step 5: Solve for x
    x = 140,808,456.07/13,530.70
  6. Step 6: Final answer
    x = 10,406.59

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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.