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Finding the Fourth Proportional to 14,644.90, 20,210 and 7,930.61

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Solution

The fourth proportional to 14,644.90, 20,210 and 7,930.61 is: 10,944.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,644.90 : 20,210 = 7,930.61 : x
  2. Step 2: Convert to fraction form
    14,644.90/20,210 = 7,930.61/x
  3. Step 3: Cross multiply
    14,644.90x = 20,210 × 7,930.61
  4. Step 4: Simplify right side
    14,644.90x = 160,277,628.10
  5. Step 5: Solve for x
    x = 160,277,628.10/14,644.90
  6. Step 6: Final answer
    x = 10,944.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.