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Finding the Fourth Proportional to 11,582.64, 15,995.39 and 9,894.21

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Solution

The fourth proportional to 11,582.64, 15,995.39 and 9,894.21 is: 13,663.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,582.64 : 15,995.39 = 9,894.21 : x
  2. Step 2: Convert to fraction form
    11,582.64/15,995.39 = 9,894.21/x
  3. Step 3: Cross multiply
    11,582.64x = 15,995.39 × 9,894.21
  4. Step 4: Simplify right side
    11,582.64x = 158,261,711.05
  5. Step 5: Solve for x
    x = 158,261,711.05/11,582.64
  6. Step 6: Final answer
    x = 13,663.70

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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.