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Finding the Fourth Proportional to 4,977.53, 6,867.74 and 3,207

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Solution

The fourth proportional to 4,977.53, 6,867.74 and 3,207 is: 4,424.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.53 : 6,867.74 = 3,207 : x
  2. Step 2: Convert to fraction form
    4,977.53/6,867.74 = 3,207/x
  3. Step 3: Cross multiply
    4,977.53x = 6,867.74 × 3,207
  4. Step 4: Simplify right side
    4,977.53x = 22,024,850.20
  5. Step 5: Solve for x
    x = 22,024,850.20/4,977.53
  6. Step 6: Final answer
    x = 4,424.86

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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.