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Finding the Fourth Proportional to 1,513.77, 2,270.87 and 1,486.64

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Solution

The fourth proportional to 1,513.77, 2,270.87 and 1,486.64 is: 2,230.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.77 : 2,270.87 = 1,486.64 : x
  2. Step 2: Convert to fraction form
    1,513.77/2,270.87 = 1,486.64/x
  3. Step 3: Cross multiply
    1,513.77x = 2,270.87 × 1,486.64
  4. Step 4: Simplify right side
    1,513.77x = 3,375,947.39
  5. Step 5: Solve for x
    x = 3,375,947.39/1,513.77
  6. Step 6: Final answer
    x = 2,230.16

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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.