Home / 11,714.09-16,165.50-6,409

Finding the Fourth Proportional to 11,714.09, 16,165.50 and 6,409

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Solution

The fourth proportional to 11,714.09, 16,165.50 and 6,409 is: 8,844.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.09 : 16,165.50 = 6,409 : x
  2. Step 2: Convert to fraction form
    11,714.09/16,165.50 = 6,409/x
  3. Step 3: Cross multiply
    11,714.09x = 16,165.50 × 6,409
  4. Step 4: Simplify right side
    11,714.09x = 103,604,689.50
  5. Step 5: Solve for x
    x = 103,604,689.50/11,714.09
  6. Step 6: Final answer
    x = 8,844.45

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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.