Home / 1,574.26-2,347.64-1,380.16

Finding the Fourth Proportional to 1,574.26, 2,347.64 and 1,380.16

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Solution

The fourth proportional to 1,574.26, 2,347.64 and 1,380.16 is: 2,058.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.26 : 2,347.64 = 1,380.16 : x
  2. Step 2: Convert to fraction form
    1,574.26/2,347.64 = 1,380.16/x
  3. Step 3: Cross multiply
    1,574.26x = 2,347.64 × 1,380.16
  4. Step 4: Simplify right side
    1,574.26x = 3,240,118.82
  5. Step 5: Solve for x
    x = 3,240,118.82/1,574.26
  6. Step 6: Final answer
    x = 2,058.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.