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Finding the Fourth Proportional to 11,768, 16,239.03 and 6,461.72

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Solution

The fourth proportional to 11,768, 16,239.03 and 6,461.72 is: 8,916.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768 : 16,239.03 = 6,461.72 : x
  2. Step 2: Convert to fraction form
    11,768/16,239.03 = 6,461.72/x
  3. Step 3: Cross multiply
    11,768x = 16,239.03 × 6,461.72
  4. Step 4: Simplify right side
    11,768x = 104,932,064.93
  5. Step 5: Solve for x
    x = 104,932,064.93/11,768
  6. Step 6: Final answer
    x = 8,916.73

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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.