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Finding the Fourth Proportional to 11,532.51, 15,914.06 and 6,815.88

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Solution

The fourth proportional to 11,532.51, 15,914.06 and 6,815.88 is: 9,405.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,532.51 : 15,914.06 = 6,815.88 : x
  2. Step 2: Convert to fraction form
    11,532.51/15,914.06 = 6,815.88/x
  3. Step 3: Cross multiply
    11,532.51x = 15,914.06 × 6,815.88
  4. Step 4: Simplify right side
    11,532.51x = 108,468,209.62
  5. Step 5: Solve for x
    x = 108,468,209.62/11,532.51
  6. Step 6: Final answer
    x = 9,405.43

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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.