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Finding the Fourth Proportional to 30,820.50, 46,234.40 and 10,044

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Solution

The fourth proportional to 30,820.50, 46,234.40 and 10,044 is: 15,067.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,820.50 : 46,234.40 = 10,044 : x
  2. Step 2: Convert to fraction form
    30,820.50/46,234.40 = 10,044/x
  3. Step 3: Cross multiply
    30,820.50x = 46,234.40 × 10,044
  4. Step 4: Simplify right side
    30,820.50x = 464,378,263.38
  5. Step 5: Solve for x
    x = 464,378,263.38/30,820.50
  6. Step 6: Final answer
    x = 15,067.19

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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.