Home / 20,844-31,271.40-6,808.32

Finding the Fourth Proportional to 20,844, 31,271.40 and 6,808.32

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Solution

The fourth proportional to 20,844, 31,271.40 and 6,808.32 is: 10,214.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,844 : 31,271.40 = 6,808.32 : x
  2. Step 2: Convert to fraction form
    20,844/31,271.40 = 6,808.32/x
  3. Step 3: Cross multiply
    20,844x = 31,271.40 × 6,808.32
  4. Step 4: Simplify right side
    20,844x = 212,905,698.05
  5. Step 5: Solve for x
    x = 212,905,698.05/20,844
  6. Step 6: Final answer
    x = 10,214.24

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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.