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Finding the Fourth Proportional to 20,886, 31,335 and 10,359.24

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Solution

The fourth proportional to 20,886, 31,335 and 10,359.24 is: 15,541.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,886 : 31,335 = 10,359.24 : x
  2. Step 2: Convert to fraction form
    20,886/31,335 = 10,359.24/x
  3. Step 3: Cross multiply
    20,886x = 31,335 × 10,359.24
  4. Step 4: Simplify right side
    20,886x = 324,606,785.40
  5. Step 5: Solve for x
    x = 324,606,785.40/20,886
  6. Step 6: Final answer
    x = 15,541.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.