Home / 1,537.29-2,120.67-947.43

Finding the Fourth Proportional to 1,537.29, 2,120.67 and 947.43

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Solution

The fourth proportional to 1,537.29, 2,120.67 and 947.43 is: 1,306.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.29 : 2,120.67 = 947.43 : x
  2. Step 2: Convert to fraction form
    1,537.29/2,120.67 = 947.43/x
  3. Step 3: Cross multiply
    1,537.29x = 2,120.67 × 947.43
  4. Step 4: Simplify right side
    1,537.29x = 2,009,186.38
  5. Step 5: Solve for x
    x = 2,009,186.38/1,537.29
  6. Step 6: Final answer
    x = 1,306.97

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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.