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Finding the Fourth Proportional to 4,911, 6,777.24 and 2,815.32

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Solution

The fourth proportional to 4,911, 6,777.24 and 2,815.32 is: 3,885.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,911 : 6,777.24 = 2,815.32 : x
  2. Step 2: Convert to fraction form
    4,911/6,777.24 = 2,815.32/x
  3. Step 3: Cross multiply
    4,911x = 6,777.24 × 2,815.32
  4. Step 4: Simplify right side
    4,911x = 19,080,099.32
  5. Step 5: Solve for x
    x = 19,080,099.32/4,911
  6. Step 6: Final answer
    x = 3,885.18

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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.