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Finding the Fourth Proportional to 11,480, 15,844.32 and 6,514.88

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Solution

The fourth proportional to 11,480, 15,844.32 and 6,514.88 is: 8,991.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,480 : 15,844.32 = 6,514.88 : x
  2. Step 2: Convert to fraction form
    11,480/15,844.32 = 6,514.88/x
  3. Step 3: Cross multiply
    11,480x = 15,844.32 × 6,514.88
  4. Step 4: Simplify right side
    11,480x = 103,223,843.48
  5. Step 5: Solve for x
    x = 103,223,843.48/11,480
  6. Step 6: Final answer
    x = 8,991.62

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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.