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Finding the Fourth Proportional to 3,312.78, 4,964.54 and 2,490.09

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Solution

The fourth proportional to 3,312.78, 4,964.54 and 2,490.09 is: 3,731.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.78 : 4,964.54 = 2,490.09 : x
  2. Step 2: Convert to fraction form
    3,312.78/4,964.54 = 2,490.09/x
  3. Step 3: Cross multiply
    3,312.78x = 4,964.54 × 2,490.09
  4. Step 4: Simplify right side
    3,312.78x = 12,362,151.41
  5. Step 5: Solve for x
    x = 12,362,151.41/3,312.78
  6. Step 6: Final answer
    x = 3,731.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.