Home / 20,974.08-31,461.12-7,122

Finding the Fourth Proportional to 20,974.08, 31,461.12 and 7,122

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Solution

The fourth proportional to 20,974.08, 31,461.12 and 7,122 is: 10,683.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,974.08 : 31,461.12 = 7,122 : x
  2. Step 2: Convert to fraction form
    20,974.08/31,461.12 = 7,122/x
  3. Step 3: Cross multiply
    20,974.08x = 31,461.12 × 7,122
  4. Step 4: Simplify right side
    20,974.08x = 224,066,096.64
  5. Step 5: Solve for x
    x = 224,066,096.64/20,974.08
  6. Step 6: Final answer
    x = 10,683.00

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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.