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Finding the Fourth Proportional to 2,803.84, 3,868.42 and 1,685.02

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Solution

The fourth proportional to 2,803.84, 3,868.42 and 1,685.02 is: 2,324.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.84 : 3,868.42 = 1,685.02 : x
  2. Step 2: Convert to fraction form
    2,803.84/3,868.42 = 1,685.02/x
  3. Step 3: Cross multiply
    2,803.84x = 3,868.42 × 1,685.02
  4. Step 4: Simplify right side
    2,803.84x = 6,518,365.07
  5. Step 5: Solve for x
    x = 6,518,365.07/2,803.84
  6. Step 6: Final answer
    x = 2,324.80

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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.