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Finding the Fourth Proportional to 2,163.94, 2,983.80 and 1,534.66

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Solution

The fourth proportional to 2,163.94, 2,983.80 and 1,534.66 is: 2,116.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.94 : 2,983.80 = 1,534.66 : x
  2. Step 2: Convert to fraction form
    2,163.94/2,983.80 = 1,534.66/x
  3. Step 3: Cross multiply
    2,163.94x = 2,983.80 × 1,534.66
  4. Step 4: Simplify right side
    2,163.94x = 4,579,118.51
  5. Step 5: Solve for x
    x = 4,579,118.51/2,163.94
  6. Step 6: Final answer
    x = 2,116.10

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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.