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Finding the Fourth Proportional to 38,495, 53,123.28 and 20,831

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Solution

The fourth proportional to 38,495, 53,123.28 and 20,831 is: 28,746.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,495 : 53,123.28 = 20,831 : x
  2. Step 2: Convert to fraction form
    38,495/53,123.28 = 20,831/x
  3. Step 3: Cross multiply
    38,495x = 53,123.28 × 20,831
  4. Step 4: Simplify right side
    38,495x = 1,106,611,045.68
  5. Step 5: Solve for x
    x = 1,106,611,045.68/38,495
  6. Step 6: Final answer
    x = 28,746.88

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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.