Home / 1,590.40-2,374.07-1,396

Finding the Fourth Proportional to 1,590.40, 2,374.07 and 1,396

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Solution

The fourth proportional to 1,590.40, 2,374.07 and 1,396 is: 2,083.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.40 : 2,374.07 = 1,396 : x
  2. Step 2: Convert to fraction form
    1,590.40/2,374.07 = 1,396/x
  3. Step 3: Cross multiply
    1,590.40x = 2,374.07 × 1,396
  4. Step 4: Simplify right side
    1,590.40x = 3,314,201.72
  5. Step 5: Solve for x
    x = 3,314,201.72/1,590.40
  6. Step 6: Final answer
    x = 2,083.88

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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.