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Finding the Fourth Proportional to 18,284, 27,430.32 and 5,972

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Solution

The fourth proportional to 18,284, 27,430.32 and 5,972 is: 8,959.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,284 : 27,430.32 = 5,972 : x
  2. Step 2: Convert to fraction form
    18,284/27,430.32 = 5,972/x
  3. Step 3: Cross multiply
    18,284x = 27,430.32 × 5,972
  4. Step 4: Simplify right side
    18,284x = 163,813,871.04
  5. Step 5: Solve for x
    x = 163,813,871.04/18,284
  6. Step 6: Final answer
    x = 8,959.41

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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.