Home / 1,537.74-2,123.31-1,007.01

Finding the Fourth Proportional to 1,537.74, 2,123.31 and 1,007.01

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Solution

The fourth proportional to 1,537.74, 2,123.31 and 1,007.01 is: 1,390.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.74 : 2,123.31 = 1,007.01 : x
  2. Step 2: Convert to fraction form
    1,537.74/2,123.31 = 1,007.01/x
  3. Step 3: Cross multiply
    1,537.74x = 2,123.31 × 1,007.01
  4. Step 4: Simplify right side
    1,537.74x = 2,138,194.40
  5. Step 5: Solve for x
    x = 2,138,194.40/1,537.74
  6. Step 6: Final answer
    x = 1,390.48

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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.