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Finding the Fourth Proportional to 2,083.40, 3,125.57 and 972

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Solution

The fourth proportional to 2,083.40, 3,125.57 and 972 is: 1,458.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.40 : 3,125.57 = 972 : x
  2. Step 2: Convert to fraction form
    2,083.40/3,125.57 = 972/x
  3. Step 3: Cross multiply
    2,083.40x = 3,125.57 × 972
  4. Step 4: Simplify right side
    2,083.40x = 3,038,052.60
  5. Step 5: Solve for x
    x = 3,038,052.60/2,083.40
  6. Step 6: Final answer
    x = 1,458.22

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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.