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Finding the Fourth Proportional to 31,286.71, 46,938.02 and 9,100.09

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Solution

The fourth proportional to 31,286.71, 46,938.02 and 9,100.09 is: 13,652.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,286.71 : 46,938.02 = 9,100.09 : x
  2. Step 2: Convert to fraction form
    31,286.71/46,938.02 = 9,100.09/x
  3. Step 3: Cross multiply
    31,286.71x = 46,938.02 × 9,100.09
  4. Step 4: Simplify right side
    31,286.71x = 427,139,926.23
  5. Step 5: Solve for x
    x = 427,139,926.23/31,286.71
  6. Step 6: Final answer
    x = 13,652.44

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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.