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Finding the Fourth Proportional to 41,260.40, 61,878.96 and 12,800

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Solution

The fourth proportional to 41,260.40, 61,878.96 and 12,800 is: 19,196.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,260.40 : 61,878.96 = 12,800 : x
  2. Step 2: Convert to fraction form
    41,260.40/61,878.96 = 12,800/x
  3. Step 3: Cross multiply
    41,260.40x = 61,878.96 × 12,800
  4. Step 4: Simplify right side
    41,260.40x = 792,050,688
  5. Step 5: Solve for x
    x = 792,050,688/41,260.40
  6. Step 6: Final answer
    x = 19,196.39

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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.