Home / 20,971.84-31,439.04-7,824.82

Finding the Fourth Proportional to 20,971.84, 31,439.04 and 7,824.82

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Solution

The fourth proportional to 20,971.84, 31,439.04 and 7,824.82 is: 11,730.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,971.84 : 31,439.04 = 7,824.82 : x
  2. Step 2: Convert to fraction form
    20,971.84/31,439.04 = 7,824.82/x
  3. Step 3: Cross multiply
    20,971.84x = 31,439.04 × 7,824.82
  4. Step 4: Simplify right side
    20,971.84x = 246,004,828.97
  5. Step 5: Solve for x
    x = 246,004,828.97/20,971.84
  6. Step 6: Final answer
    x = 11,730.25

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1.5x scale

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.