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Finding the Fourth Proportional to 20,665.70, 30,981.13 and 8,970.11

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Solution

The fourth proportional to 20,665.70, 30,981.13 and 8,970.11 is: 13,447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,665.70 : 30,981.13 = 8,970.11 : x
  2. Step 2: Convert to fraction form
    20,665.70/30,981.13 = 8,970.11/x
  3. Step 3: Cross multiply
    20,665.70x = 30,981.13 × 8,970.11
  4. Step 4: Simplify right side
    20,665.70x = 277,904,144.02
  5. Step 5: Solve for x
    x = 277,904,144.02/20,665.70
  6. Step 6: Final answer
    x = 13,447.60

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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.