Home / 20,970.16-31,454.20-7,821.50

Finding the Fourth Proportional to 20,970.16, 31,454.20 and 7,821.50

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Solution

The fourth proportional to 20,970.16, 31,454.20 and 7,821.50 is: 11,731.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,970.16 : 31,454.20 = 7,821.50 : x
  2. Step 2: Convert to fraction form
    20,970.16/31,454.20 = 7,821.50/x
  3. Step 3: Cross multiply
    20,970.16x = 31,454.20 × 7,821.50
  4. Step 4: Simplify right side
    20,970.16x = 246,019,025.30
  5. Step 5: Solve for x
    x = 246,019,025.30/20,970.16
  6. Step 6: Final answer
    x = 11,731.86

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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.