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Finding the Fourth Proportional to 11,533.76, 15,900 and 8,216

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Solution

The fourth proportional to 11,533.76, 15,900 and 8,216 is: 11,326.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533.76 : 15,900 = 8,216 : x
  2. Step 2: Convert to fraction form
    11,533.76/15,900 = 8,216/x
  3. Step 3: Cross multiply
    11,533.76x = 15,900 × 8,216
  4. Step 4: Simplify right side
    11,533.76x = 130,634,400
  5. Step 5: Solve for x
    x = 130,634,400/11,533.76
  6. Step 6: Final answer
    x = 11,326.26

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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.