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Finding the Fourth Proportional to 9,869.21, 14,806.56 and 5,489.74

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Solution

The fourth proportional to 9,869.21, 14,806.56 and 5,489.74 is: 8,236.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869.21 : 14,806.56 = 5,489.74 : x
  2. Step 2: Convert to fraction form
    9,869.21/14,806.56 = 5,489.74/x
  3. Step 3: Cross multiply
    9,869.21x = 14,806.56 × 5,489.74
  4. Step 4: Simplify right side
    9,869.21x = 81,284,203.79
  5. Step 5: Solve for x
    x = 81,284,203.79/9,869.21
  6. Step 6: Final answer
    x = 8,236.14

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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.