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Finding the Fourth Proportional to 29,620.64, 44,431.50 and 12,078.20

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Solution

The fourth proportional to 29,620.64, 44,431.50 and 12,078.20 is: 18,117.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,620.64 : 44,431.50 = 12,078.20 : x
  2. Step 2: Convert to fraction form
    29,620.64/44,431.50 = 12,078.20/x
  3. Step 3: Cross multiply
    29,620.64x = 44,431.50 × 12,078.20
  4. Step 4: Simplify right side
    29,620.64x = 536,652,543.30
  5. Step 5: Solve for x
    x = 536,652,543.30/29,620.64
  6. Step 6: Final answer
    x = 18,117.52

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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.