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Finding the Fourth Proportional to 10,913.76, 16,358.88 and 5,360.64

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Solution

The fourth proportional to 10,913.76, 16,358.88 and 5,360.64 is: 8,035.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,913.76 : 16,358.88 = 5,360.64 : x
  2. Step 2: Convert to fraction form
    10,913.76/16,358.88 = 5,360.64/x
  3. Step 3: Cross multiply
    10,913.76x = 16,358.88 × 5,360.64
  4. Step 4: Simplify right side
    10,913.76x = 87,694,066.48
  5. Step 5: Solve for x
    x = 87,694,066.48/10,913.76
  6. Step 6: Final answer
    x = 8,035.18

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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.