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Finding the Fourth Proportional to 3,657.84, 5,490 and 1,904.09

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Solution

The fourth proportional to 3,657.84, 5,490 and 1,904.09 is: 2,857.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.84 : 5,490 = 1,904.09 : x
  2. Step 2: Convert to fraction form
    3,657.84/5,490 = 1,904.09/x
  3. Step 3: Cross multiply
    3,657.84x = 5,490 × 1,904.09
  4. Step 4: Simplify right side
    3,657.84x = 10,453,426.65
  5. Step 5: Solve for x
    x = 10,453,426.65/3,657.84
  6. Step 6: Final answer
    x = 2,857.81

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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.