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Finding the Fourth Proportional to 2,174.43, 3,261.62 and 530.99

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Solution

The fourth proportional to 2,174.43, 3,261.62 and 530.99 is: 796.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.43 : 3,261.62 = 530.99 : x
  2. Step 2: Convert to fraction form
    2,174.43/3,261.62 = 530.99/x
  3. Step 3: Cross multiply
    2,174.43x = 3,261.62 × 530.99
  4. Step 4: Simplify right side
    2,174.43x = 1,731,868.64
  5. Step 5: Solve for x
    x = 1,731,868.64/2,174.43
  6. Step 6: Final answer
    x = 796.47

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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.