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Finding the Fourth Proportional to 1,486.77, 2,052.03 and 857.71

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Solution

The fourth proportional to 1,486.77, 2,052.03 and 857.71 is: 1,183.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.77 : 2,052.03 = 857.71 : x
  2. Step 2: Convert to fraction form
    1,486.77/2,052.03 = 857.71/x
  3. Step 3: Cross multiply
    1,486.77x = 2,052.03 × 857.71
  4. Step 4: Simplify right side
    1,486.77x = 1,760,041.52
  5. Step 5: Solve for x
    x = 1,760,041.52/1,486.77
  6. Step 6: Final answer
    x = 1,183.80

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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.