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Finding the Fourth Proportional to 11,451.44, 15,802.84 and 6,415.57

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Solution

The fourth proportional to 11,451.44, 15,802.84 and 6,415.57 is: 8,853.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,451.44 : 15,802.84 = 6,415.57 : x
  2. Step 2: Convert to fraction form
    11,451.44/15,802.84 = 6,415.57/x
  3. Step 3: Cross multiply
    11,451.44x = 15,802.84 × 6,415.57
  4. Step 4: Simplify right side
    11,451.44x = 101,384,226.22
  5. Step 5: Solve for x
    x = 101,384,226.22/11,451.44
  6. Step 6: Final answer
    x = 8,853.40

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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.