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Finding the Fourth Proportional to 4,806.64, 6,631.32 and 2,816.47

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Solution

The fourth proportional to 4,806.64, 6,631.32 and 2,816.47 is: 3,885.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.64 : 6,631.32 = 2,816.47 : x
  2. Step 2: Convert to fraction form
    4,806.64/6,631.32 = 2,816.47/x
  3. Step 3: Cross multiply
    4,806.64x = 6,631.32 × 2,816.47
  4. Step 4: Simplify right side
    4,806.64x = 18,676,916.85
  5. Step 5: Solve for x
    x = 18,676,916.85/4,806.64
  6. Step 6: Final answer
    x = 3,885.65

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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.