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Finding the Fourth Proportional to 11,488, 15,853.44 and 6,520

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Solution

The fourth proportional to 11,488, 15,853.44 and 6,520 is: 8,997.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,488 : 15,853.44 = 6,520 : x
  2. Step 2: Convert to fraction form
    11,488/15,853.44 = 6,520/x
  3. Step 3: Cross multiply
    11,488x = 15,853.44 × 6,520
  4. Step 4: Simplify right side
    11,488x = 103,364,428.80
  5. Step 5: Solve for x
    x = 103,364,428.80/11,488
  6. Step 6: Final answer
    x = 8,997.60

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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.