Home / 1,537.21-2,304.93-1,406.59

Finding the Fourth Proportional to 1,537.21, 2,304.93 and 1,406.59

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Solution

The fourth proportional to 1,537.21, 2,304.93 and 1,406.59 is: 2,109.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.21 : 2,304.93 = 1,406.59 : x
  2. Step 2: Convert to fraction form
    1,537.21/2,304.93 = 1,406.59/x
  3. Step 3: Cross multiply
    1,537.21x = 2,304.93 × 1,406.59
  4. Step 4: Simplify right side
    1,537.21x = 3,242,091.49
  5. Step 5: Solve for x
    x = 3,242,091.49/1,537.21
  6. Step 6: Final answer
    x = 2,109.08

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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.