Home / 20,977-31,465.50-7,126.12

Finding the Fourth Proportional to 20,977, 31,465.50 and 7,126.12

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Solution

The fourth proportional to 20,977, 31,465.50 and 7,126.12 is: 10,689.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,977 : 31,465.50 = 7,126.12 : x
  2. Step 2: Convert to fraction form
    20,977/31,465.50 = 7,126.12/x
  3. Step 3: Cross multiply
    20,977x = 31,465.50 × 7,126.12
  4. Step 4: Simplify right side
    20,977x = 224,226,928.86
  5. Step 5: Solve for x
    x = 224,226,928.86/20,977
  6. Step 6: Final answer
    x = 10,689.18

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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.