Home / 12,132.40-16,742-6,827

Finding the Fourth Proportional to 12,132.40, 16,742 and 6,827

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Solution

The fourth proportional to 12,132.40, 16,742 and 6,827 is: 9,420.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,132.40 : 16,742 = 6,827 : x
  2. Step 2: Convert to fraction form
    12,132.40/16,742 = 6,827/x
  3. Step 3: Cross multiply
    12,132.40x = 16,742 × 6,827
  4. Step 4: Simplify right side
    12,132.40x = 114,297,634
  5. Step 5: Solve for x
    x = 114,297,634/12,132.40
  6. Step 6: Final answer
    x = 9,420.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.