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Finding the Fourth Proportional to 4,490, 6,735.24 and 3,187.76

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Solution

The fourth proportional to 4,490, 6,735.24 and 3,187.76 is: 4,781.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,490 : 6,735.24 = 3,187.76 : x
  2. Step 2: Convert to fraction form
    4,490/6,735.24 = 3,187.76/x
  3. Step 3: Cross multiply
    4,490x = 6,735.24 × 3,187.76
  4. Step 4: Simplify right side
    4,490x = 21,470,328.66
  5. Step 5: Solve for x
    x = 21,470,328.66/4,490
  6. Step 6: Final answer
    x = 4,781.81

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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.