Home / 20,970.52-31,461.24-7,823

Finding the Fourth Proportional to 20,970.52, 31,461.24 and 7,823

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Solution

The fourth proportional to 20,970.52, 31,461.24 and 7,823 is: 11,736.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,970.52 : 31,461.24 = 7,823 : x
  2. Step 2: Convert to fraction form
    20,970.52/31,461.24 = 7,823/x
  3. Step 3: Cross multiply
    20,970.52x = 31,461.24 × 7,823
  4. Step 4: Simplify right side
    20,970.52x = 246,121,280.52
  5. Step 5: Solve for x
    x = 246,121,280.52/20,970.52
  6. Step 6: Final answer
    x = 11,736.54

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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.