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Finding the Fourth Proportional to 30,628.90, 45,943.56 and 8,443.48

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Solution

The fourth proportional to 30,628.90, 45,943.56 and 8,443.48 is: 12,665.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,628.90 : 45,943.56 = 8,443.48 : x
  2. Step 2: Convert to fraction form
    30,628.90/45,943.56 = 8,443.48/x
  3. Step 3: Cross multiply
    30,628.90x = 45,943.56 × 8,443.48
  4. Step 4: Simplify right side
    30,628.90x = 387,923,529.99
  5. Step 5: Solve for x
    x = 387,923,529.99/30,628.90
  6. Step 6: Final answer
    x = 12,665.28

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1.5x scale

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.