Home / 1,406.38-2,107.86-1,058.59

Finding the Fourth Proportional to 1,406.38, 2,107.86 and 1,058.59

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Solution

The fourth proportional to 1,406.38, 2,107.86 and 1,058.59 is: 1,586.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.38 : 2,107.86 = 1,058.59 : x
  2. Step 2: Convert to fraction form
    1,406.38/2,107.86 = 1,058.59/x
  3. Step 3: Cross multiply
    1,406.38x = 2,107.86 × 1,058.59
  4. Step 4: Simplify right side
    1,406.38x = 2,231,358.18
  5. Step 5: Solve for x
    x = 2,231,358.18/1,406.38
  6. Step 6: Final answer
    x = 1,586.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.