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Finding the Fourth Proportional to 2,983.77, 4,114.87 and 1,864.82

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Solution

The fourth proportional to 2,983.77, 4,114.87 and 1,864.82 is: 2,571.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.77 : 4,114.87 = 1,864.82 : x
  2. Step 2: Convert to fraction form
    2,983.77/4,114.87 = 1,864.82/x
  3. Step 3: Cross multiply
    2,983.77x = 4,114.87 × 1,864.82
  4. Step 4: Simplify right side
    2,983.77x = 7,673,497.50
  5. Step 5: Solve for x
    x = 7,673,497.50/2,983.77
  6. Step 6: Final answer
    x = 2,571.75

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1.5x scale

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.