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Finding the Fourth Proportional to 30,512, 45,772.94 and 9,447.09

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Solution

The fourth proportional to 30,512, 45,772.94 and 9,447.09 is: 14,172.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,512 : 45,772.94 = 9,447.09 : x
  2. Step 2: Convert to fraction form
    30,512/45,772.94 = 9,447.09/x
  3. Step 3: Cross multiply
    30,512x = 45,772.94 × 9,447.09
  4. Step 4: Simplify right side
    30,512x = 432,421,083.74
  5. Step 5: Solve for x
    x = 432,421,083.74/30,512
  6. Step 6: Final answer
    x = 14,172.16

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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.