Home / 13,974.52-20,970-5,215.60

Finding the Fourth Proportional to 13,974.52, 20,970 and 5,215.60

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Solution

The fourth proportional to 13,974.52, 20,970 and 5,215.60 is: 7,826.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,974.52 : 20,970 = 5,215.60 : x
  2. Step 2: Convert to fraction form
    13,974.52/20,970 = 5,215.60/x
  3. Step 3: Cross multiply
    13,974.52x = 20,970 × 5,215.60
  4. Step 4: Simplify right side
    13,974.52x = 109,371,132.00
  5. Step 5: Solve for x
    x = 109,371,132.00/13,974.52
  6. Step 6: Final answer
    x = 7,826.47

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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.