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Finding the Fourth Proportional to 30,750, 46,128.24 and 14,107.20

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Solution

The fourth proportional to 30,750, 46,128.24 and 14,107.20 is: 21,162.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,750 : 46,128.24 = 14,107.20 : x
  2. Step 2: Convert to fraction form
    30,750/46,128.24 = 14,107.20/x
  3. Step 3: Cross multiply
    30,750x = 46,128.24 × 14,107.20
  4. Step 4: Simplify right side
    30,750x = 650,740,307.33
  5. Step 5: Solve for x
    x = 650,740,307.33/30,750
  6. Step 6: Final answer
    x = 21,162.29

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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.