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Finding the Fourth Proportional to 31,100, 46,654.68 and 10,032.98

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Solution

The fourth proportional to 31,100, 46,654.68 and 10,032.98 is: 15,050.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,100 : 46,654.68 = 10,032.98 : x
  2. Step 2: Convert to fraction form
    31,100/46,654.68 = 10,032.98/x
  3. Step 3: Cross multiply
    31,100x = 46,654.68 × 10,032.98
  4. Step 4: Simplify right side
    31,100x = 468,085,471.35
  5. Step 5: Solve for x
    x = 468,085,471.35/31,100
  6. Step 6: Final answer
    x = 15,050.98

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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.