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Finding the Fourth Proportional to 4,812, 6,642.36 and 2,949

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Solution

The fourth proportional to 4,812, 6,642.36 and 2,949 is: 4,070.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,812 : 6,642.36 = 2,949 : x
  2. Step 2: Convert to fraction form
    4,812/6,642.36 = 2,949/x
  3. Step 3: Cross multiply
    4,812x = 6,642.36 × 2,949
  4. Step 4: Simplify right side
    4,812x = 19,588,319.64
  5. Step 5: Solve for x
    x = 19,588,319.64/4,812
  6. Step 6: Final answer
    x = 4,070.72

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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.