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Finding the Fourth Proportional to 20,521.89, 30,770.55 and 9,971.15

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Solution

The fourth proportional to 20,521.89, 30,770.55 and 9,971.15 is: 14,950.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,521.89 : 30,770.55 = 9,971.15 : x
  2. Step 2: Convert to fraction form
    20,521.89/30,770.55 = 9,971.15/x
  3. Step 3: Cross multiply
    20,521.89x = 30,770.55 × 9,971.15
  4. Step 4: Simplify right side
    20,521.89x = 306,817,615.78
  5. Step 5: Solve for x
    x = 306,817,615.78/20,521.89
  6. Step 6: Final answer
    x = 14,950.75

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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.