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Finding the Fourth Proportional to 30,338.27, 45,503.16 and 12,804

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Solution

The fourth proportional to 30,338.27, 45,503.16 and 12,804 is: 19,204.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,338.27 : 45,503.16 = 12,804 : x
  2. Step 2: Convert to fraction form
    30,338.27/45,503.16 = 12,804/x
  3. Step 3: Cross multiply
    30,338.27x = 45,503.16 × 12,804
  4. Step 4: Simplify right side
    30,338.27x = 582,622,412.63
  5. Step 5: Solve for x
    x = 582,622,412.63/30,338.27
  6. Step 6: Final answer
    x = 19,204.21

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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.