Home / 20,944.32-31,416.48-7,800

Finding the Fourth Proportional to 20,944.32, 31,416.48 and 7,800

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Solution

The fourth proportional to 20,944.32, 31,416.48 and 7,800 is: 11,700

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,944.32 : 31,416.48 = 7,800 : x
  2. Step 2: Convert to fraction form
    20,944.32/31,416.48 = 7,800/x
  3. Step 3: Cross multiply
    20,944.32x = 31,416.48 × 7,800
  4. Step 4: Simplify right side
    20,944.32x = 245,048,544
  5. Step 5: Solve for x
    x = 245,048,544/20,944.32
  6. Step 6: Final answer
    x = 11,700

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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.