Home / 1,587.24-2,185.86-1,428.52

Finding the Fourth Proportional to 1,587.24, 2,185.86 and 1,428.52

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Solution

The fourth proportional to 1,587.24, 2,185.86 and 1,428.52 is: 1,967.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.24 : 2,185.86 = 1,428.52 : x
  2. Step 2: Convert to fraction form
    1,587.24/2,185.86 = 1,428.52/x
  3. Step 3: Cross multiply
    1,587.24x = 2,185.86 × 1,428.52
  4. Step 4: Simplify right side
    1,587.24x = 3,122,544.73
  5. Step 5: Solve for x
    x = 3,122,544.73/1,587.24
  6. Step 6: Final answer
    x = 1,967.28

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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.