Home / 20,829.40-31,244.10-6,978.40

Finding the Fourth Proportional to 20,829.40, 31,244.10 and 6,978.40

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Solution

The fourth proportional to 20,829.40, 31,244.10 and 6,978.40 is: 10,467.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,829.40 : 31,244.10 = 6,978.40 : x
  2. Step 2: Convert to fraction form
    20,829.40/31,244.10 = 6,978.40/x
  3. Step 3: Cross multiply
    20,829.40x = 31,244.10 × 6,978.40
  4. Step 4: Simplify right side
    20,829.40x = 218,033,827.44
  5. Step 5: Solve for x
    x = 218,033,827.44/20,829.40
  6. Step 6: Final answer
    x = 10,467.60

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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.