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Finding the Fourth Proportional to 20,521.66, 30,770.17 and 9,970.90

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Solution

The fourth proportional to 20,521.66, 30,770.17 and 9,970.90 is: 14,950.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,521.66 : 30,770.17 = 9,970.90 : x
  2. Step 2: Convert to fraction form
    20,521.66/30,770.17 = 9,970.90/x
  3. Step 3: Cross multiply
    20,521.66x = 30,770.17 × 9,970.90
  4. Step 4: Simplify right side
    20,521.66x = 306,806,288.05
  5. Step 5: Solve for x
    x = 306,806,288.05/20,521.66
  6. Step 6: Final answer
    x = 14,950.36

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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.