Home / 1,537.67-2,305.74-1,426.52

Finding the Fourth Proportional to 1,537.67, 2,305.74 and 1,426.52

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Solution

The fourth proportional to 1,537.67, 2,305.74 and 1,426.52 is: 2,139.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.67 : 2,305.74 = 1,426.52 : x
  2. Step 2: Convert to fraction form
    1,537.67/2,305.74 = 1,426.52/x
  3. Step 3: Cross multiply
    1,537.67x = 2,305.74 × 1,426.52
  4. Step 4: Simplify right side
    1,537.67x = 3,289,184.22
  5. Step 5: Solve for x
    x = 3,289,184.22/1,537.67
  6. Step 6: Final answer
    x = 2,139.07

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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.