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Finding the Fourth Proportional to 11,862.62, 16,369 and 6,556.72

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Solution

The fourth proportional to 11,862.62, 16,369 and 6,556.72 is: 9,047.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,862.62 : 16,369 = 6,556.72 : x
  2. Step 2: Convert to fraction form
    11,862.62/16,369 = 6,556.72/x
  3. Step 3: Cross multiply
    11,862.62x = 16,369 × 6,556.72
  4. Step 4: Simplify right side
    11,862.62x = 107,326,949.68
  5. Step 5: Solve for x
    x = 107,326,949.68/11,862.62
  6. Step 6: Final answer
    x = 9,047.49

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1.5x scale

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.