Home / 20,977.34-31,447.29-7,830.32

Finding the Fourth Proportional to 20,977.34, 31,447.29 and 7,830.32

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Solution

The fourth proportional to 20,977.34, 31,447.29 and 7,830.32 is: 11,738.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,977.34 : 31,447.29 = 7,830.32 : x
  2. Step 2: Convert to fraction form
    20,977.34/31,447.29 = 7,830.32/x
  3. Step 3: Cross multiply
    20,977.34x = 31,447.29 × 7,830.32
  4. Step 4: Simplify right side
    20,977.34x = 246,242,343.83
  5. Step 5: Solve for x
    x = 246,242,343.83/20,977.34
  6. Step 6: Final answer
    x = 11,738.49

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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.