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Finding the Fourth Proportional to 4,931.20, 6,805 and 2,836

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Solution

The fourth proportional to 4,931.20, 6,805 and 2,836 is: 3,913.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,931.20 : 6,805 = 2,836 : x
  2. Step 2: Convert to fraction form
    4,931.20/6,805 = 2,836/x
  3. Step 3: Cross multiply
    4,931.20x = 6,805 × 2,836
  4. Step 4: Simplify right side
    4,931.20x = 19,298,980
  5. Step 5: Solve for x
    x = 19,298,980/4,931.20
  6. Step 6: Final answer
    x = 3,913.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.