Home / 1,537.03-2,120.23-947.15

Finding the Fourth Proportional to 1,537.03, 2,120.23 and 947.15

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Solution

The fourth proportional to 1,537.03, 2,120.23 and 947.15 is: 1,306.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.03 : 2,120.23 = 947.15 : x
  2. Step 2: Convert to fraction form
    1,537.03/2,120.23 = 947.15/x
  3. Step 3: Cross multiply
    1,537.03x = 2,120.23 × 947.15
  4. Step 4: Simplify right side
    1,537.03x = 2,008,175.84
  5. Step 5: Solve for x
    x = 2,008,175.84/1,537.03
  6. Step 6: Final answer
    x = 1,306.53

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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.