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Finding the Fourth Proportional to 1,916.37, 2,871.20 and 1,365.68

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Solution

The fourth proportional to 1,916.37, 2,871.20 and 1,365.68 is: 2,046.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.37 : 2,871.20 = 1,365.68 : x
  2. Step 2: Convert to fraction form
    1,916.37/2,871.20 = 1,365.68/x
  3. Step 3: Cross multiply
    1,916.37x = 2,871.20 × 1,365.68
  4. Step 4: Simplify right side
    1,916.37x = 3,921,151.01
  5. Step 5: Solve for x
    x = 3,921,151.01/1,916.37
  6. Step 6: Final answer
    x = 2,046.13

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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.