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Finding the Fourth Proportional to 3,869.93, 5,340.53 and 2,101.53

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Solution

The fourth proportional to 3,869.93, 5,340.53 and 2,101.53 is: 2,900.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.93 : 5,340.53 = 2,101.53 : x
  2. Step 2: Convert to fraction form
    3,869.93/5,340.53 = 2,101.53/x
  3. Step 3: Cross multiply
    3,869.93x = 5,340.53 × 2,101.53
  4. Step 4: Simplify right side
    3,869.93x = 11,223,284.01
  5. Step 5: Solve for x
    x = 11,223,284.01/3,869.93
  6. Step 6: Final answer
    x = 2,900.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.