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Finding the Fourth Proportional to 11,757, 16,225.14 and 6,789

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Solution

The fourth proportional to 11,757, 16,225.14 and 6,789 is: 9,369.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757 : 16,225.14 = 6,789 : x
  2. Step 2: Convert to fraction form
    11,757/16,225.14 = 6,789/x
  3. Step 3: Cross multiply
    11,757x = 16,225.14 × 6,789
  4. Step 4: Simplify right side
    11,757x = 110,152,475.46
  5. Step 5: Solve for x
    x = 110,152,475.46/11,757
  6. Step 6: Final answer
    x = 9,369.10

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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.