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Finding the Fourth Proportional to 20,969.41, 31,438.85 and 9,869.93

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Solution

The fourth proportional to 20,969.41, 31,438.85 and 9,869.93 is: 14,797.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,969.41 : 31,438.85 = 9,869.93 : x
  2. Step 2: Convert to fraction form
    20,969.41/31,438.85 = 9,869.93/x
  3. Step 3: Cross multiply
    20,969.41x = 31,438.85 × 9,869.93
  4. Step 4: Simplify right side
    20,969.41x = 310,299,248.78
  5. Step 5: Solve for x
    x = 310,299,248.78/20,969.41
  6. Step 6: Final answer
    x = 14,797.71

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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.