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Finding the Fourth Proportional to 2,162.68, 2,983.68 and 1,365.78

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Solution

The fourth proportional to 2,162.68, 2,983.68 and 1,365.78 is: 1,884.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.68 : 2,983.68 = 1,365.78 : x
  2. Step 2: Convert to fraction form
    2,162.68/2,983.68 = 1,365.78/x
  3. Step 3: Cross multiply
    2,162.68x = 2,983.68 × 1,365.78
  4. Step 4: Simplify right side
    2,162.68x = 4,075,050.47
  5. Step 5: Solve for x
    x = 4,075,050.47/2,162.68
  6. Step 6: Final answer
    x = 1,884.26

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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.