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Finding the Fourth Proportional to 1,574.72, 2,174.13 and 1,219.98

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Solution

The fourth proportional to 1,574.72, 2,174.13 and 1,219.98 is: 1,684.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.72 : 2,174.13 = 1,219.98 : x
  2. Step 2: Convert to fraction form
    1,574.72/2,174.13 = 1,219.98/x
  3. Step 3: Cross multiply
    1,574.72x = 2,174.13 × 1,219.98
  4. Step 4: Simplify right side
    1,574.72x = 2,652,395.12
  5. Step 5: Solve for x
    x = 2,652,395.12/1,574.72
  6. Step 6: Final answer
    x = 1,684.37

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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.