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Finding the Fourth Proportional to 29,830.80, 44,751.60 and 12,302.40

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Solution

The fourth proportional to 29,830.80, 44,751.60 and 12,302.40 is: 18,455.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,830.80 : 44,751.60 = 12,302.40 : x
  2. Step 2: Convert to fraction form
    29,830.80/44,751.60 = 12,302.40/x
  3. Step 3: Cross multiply
    29,830.80x = 44,751.60 × 12,302.40
  4. Step 4: Simplify right side
    29,830.80x = 550,552,083.84
  5. Step 5: Solve for x
    x = 550,552,083.84/29,830.80
  6. Step 6: Final answer
    x = 18,455.83

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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.