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Finding the Fourth Proportional to 28,872.78, 43,312 and 12,002.30

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Solution

The fourth proportional to 28,872.78, 43,312 and 12,002.30 is: 18,004.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,872.78 : 43,312 = 12,002.30 : x
  2. Step 2: Convert to fraction form
    28,872.78/43,312 = 12,002.30/x
  3. Step 3: Cross multiply
    28,872.78x = 43,312 × 12,002.30
  4. Step 4: Simplify right side
    28,872.78x = 519,843,617.60
  5. Step 5: Solve for x
    x = 519,843,617.60/28,872.78
  6. Step 6: Final answer
    x = 18,004.63

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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.