Home / 2,083.42-3,125.58-972.03

Finding the Fourth Proportional to 2,083.42, 3,125.58 and 972.03

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Solution

The fourth proportional to 2,083.42, 3,125.58 and 972.03 is: 1,458.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.42 : 3,125.58 = 972.03 : x
  2. Step 2: Convert to fraction form
    2,083.42/3,125.58 = 972.03/x
  3. Step 3: Cross multiply
    2,083.42x = 3,125.58 × 972.03
  4. Step 4: Simplify right side
    2,083.42x = 3,038,157.53
  5. Step 5: Solve for x
    x = 3,038,157.53/2,083.42
  6. Step 6: Final answer
    x = 1,458.25

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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.