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Finding the Fourth Proportional to 1,382.67, 2,080.96 and 1,037.81

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Solution

The fourth proportional to 1,382.67, 2,080.96 and 1,037.81 is: 1,561.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.67 : 2,080.96 = 1,037.81 : x
  2. Step 2: Convert to fraction form
    1,382.67/2,080.96 = 1,037.81/x
  3. Step 3: Cross multiply
    1,382.67x = 2,080.96 × 1,037.81
  4. Step 4: Simplify right side
    1,382.67x = 2,159,643.71
  5. Step 5: Solve for x
    x = 2,159,643.71/1,382.67
  6. Step 6: Final answer
    x = 1,561.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.