Home / 11,531.76-15,897.24-8,214

Finding the Fourth Proportional to 11,531.76, 15,897.24 and 8,214

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Solution

The fourth proportional to 11,531.76, 15,897.24 and 8,214 is: 11,323.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,531.76 : 15,897.24 = 8,214 : x
  2. Step 2: Convert to fraction form
    11,531.76/15,897.24 = 8,214/x
  3. Step 3: Cross multiply
    11,531.76x = 15,897.24 × 8,214
  4. Step 4: Simplify right side
    11,531.76x = 130,579,929.36
  5. Step 5: Solve for x
    x = 130,579,929.36/11,531.76
  6. Step 6: Final answer
    x = 11,323.50

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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.