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Finding the Fourth Proportional to 10,157.81, 15,223.71 and 8,836.04

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Solution

The fourth proportional to 10,157.81, 15,223.71 and 8,836.04 is: 13,242.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,157.81 : 15,223.71 = 8,836.04 : x
  2. Step 2: Convert to fraction form
    10,157.81/15,223.71 = 8,836.04/x
  3. Step 3: Cross multiply
    10,157.81x = 15,223.71 × 8,836.04
  4. Step 4: Simplify right side
    10,157.81x = 134,517,234.39
  5. Step 5: Solve for x
    x = 134,517,234.39/10,157.81
  6. Step 6: Final answer
    x = 13,242.75

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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.