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Finding the Fourth Proportional to 44,712, 67,022.64 and 18,431.28

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Solution

The fourth proportional to 44,712, 67,022.64 and 18,431.28 is: 27,628.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,712 : 67,022.64 = 18,431.28 : x
  2. Step 2: Convert to fraction form
    44,712/67,022.64 = 18,431.28/x
  3. Step 3: Cross multiply
    44,712x = 67,022.64 × 18,431.28
  4. Step 4: Simplify right side
    44,712x = 1,235,313,044.18
  5. Step 5: Solve for x
    x = 1,235,313,044.18/44,712
  6. Step 6: Final answer
    x = 27,628.22

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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.