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Finding the Fourth Proportional to 2,164.05, 3,244.14 and 864.63

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Solution

The fourth proportional to 2,164.05, 3,244.14 and 864.63 is: 1,296.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.05 : 3,244.14 = 864.63 : x
  2. Step 2: Convert to fraction form
    2,164.05/3,244.14 = 864.63/x
  3. Step 3: Cross multiply
    2,164.05x = 3,244.14 × 864.63
  4. Step 4: Simplify right side
    2,164.05x = 2,804,980.77
  5. Step 5: Solve for x
    x = 2,804,980.77/2,164.05
  6. Step 6: Final answer
    x = 1,296.17

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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.