Home / 1,537.40-2,122.08-1,013.60

Finding the Fourth Proportional to 1,537.40, 2,122.08 and 1,013.60

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Solution

The fourth proportional to 1,537.40, 2,122.08 and 1,013.60 is: 1,399.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.40 : 2,122.08 = 1,013.60 : x
  2. Step 2: Convert to fraction form
    1,537.40/2,122.08 = 1,013.60/x
  3. Step 3: Cross multiply
    1,537.40x = 2,122.08 × 1,013.60
  4. Step 4: Simplify right side
    1,537.40x = 2,150,940.29
  5. Step 5: Solve for x
    x = 2,150,940.29/1,537.40
  6. Step 6: Final answer
    x = 1,399.08

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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.