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Finding the Fourth Proportional to 2,164.93, 3,247.38 and 604.93

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Solution

The fourth proportional to 2,164.93, 3,247.38 and 604.93 is: 907.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.93 : 3,247.38 = 604.93 : x
  2. Step 2: Convert to fraction form
    2,164.93/3,247.38 = 604.93/x
  3. Step 3: Cross multiply
    2,164.93x = 3,247.38 × 604.93
  4. Step 4: Simplify right side
    2,164.93x = 1,964,421.35
  5. Step 5: Solve for x
    x = 1,964,421.35/2,164.93
  6. Step 6: Final answer
    x = 907.39

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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.