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Finding the Fourth Proportional to 30,016.49, 45,027 and 8,954.87

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Solution

The fourth proportional to 30,016.49, 45,027 and 8,954.87 is: 13,432.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,016.49 : 45,027 = 8,954.87 : x
  2. Step 2: Convert to fraction form
    30,016.49/45,027 = 8,954.87/x
  3. Step 3: Cross multiply
    30,016.49x = 45,027 × 8,954.87
  4. Step 4: Simplify right side
    30,016.49x = 403,210,706.36
  5. Step 5: Solve for x
    x = 403,210,706.36/30,016.49
  6. Step 6: Final answer
    x = 13,432.98

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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.