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Finding the Fourth Proportional to 11,752, 16,218.24 and 6,784

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Solution

The fourth proportional to 11,752, 16,218.24 and 6,784 is: 9,362.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752 : 16,218.24 = 6,784 : x
  2. Step 2: Convert to fraction form
    11,752/16,218.24 = 6,784/x
  3. Step 3: Cross multiply
    11,752x = 16,218.24 × 6,784
  4. Step 4: Simplify right side
    11,752x = 110,024,540.16
  5. Step 5: Solve for x
    x = 110,024,540.16/11,752
  6. Step 6: Final answer
    x = 9,362.20

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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.