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Finding the Fourth Proportional to 10,611.40, 15,913.04 and 3,213.40

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Solution

The fourth proportional to 10,611.40, 15,913.04 and 3,213.40 is: 4,818.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.40 : 15,913.04 = 3,213.40 : x
  2. Step 2: Convert to fraction form
    10,611.40/15,913.04 = 3,213.40/x
  3. Step 3: Cross multiply
    10,611.40x = 15,913.04 × 3,213.40
  4. Step 4: Simplify right side
    10,611.40x = 51,134,962.74
  5. Step 5: Solve for x
    x = 51,134,962.74/10,611.40
  6. Step 6: Final answer
    x = 4,818.87

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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.