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Finding the Fourth Proportional to 1,574.66, 2,163.91 and 1,502.39

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Solution

The fourth proportional to 1,574.66, 2,163.91 and 1,502.39 is: 2,064.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.66 : 2,163.91 = 1,502.39 : x
  2. Step 2: Convert to fraction form
    1,574.66/2,163.91 = 1,502.39/x
  3. Step 3: Cross multiply
    1,574.66x = 2,163.91 × 1,502.39
  4. Step 4: Simplify right side
    1,574.66x = 3,251,029.23
  5. Step 5: Solve for x
    x = 3,251,029.23/1,574.66
  6. Step 6: Final answer
    x = 2,064.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.