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Finding the Fourth Proportional to 10,864.64, 16,302.40 and 3,942.40

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Solution

The fourth proportional to 10,864.64, 16,302.40 and 3,942.40 is: 5,915.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,864.64 : 16,302.40 = 3,942.40 : x
  2. Step 2: Convert to fraction form
    10,864.64/16,302.40 = 3,942.40/x
  3. Step 3: Cross multiply
    10,864.64x = 16,302.40 × 3,942.40
  4. Step 4: Simplify right side
    10,864.64x = 64,270,581.76
  5. Step 5: Solve for x
    x = 64,270,581.76/10,864.64
  6. Step 6: Final answer
    x = 5,915.57

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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.