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Finding the Fourth Proportional to 28,802, 43,205.48 and 8,025.50

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Solution

The fourth proportional to 28,802, 43,205.48 and 8,025.50 is: 12,038.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,802 : 43,205.48 = 8,025.50 : x
  2. Step 2: Convert to fraction form
    28,802/43,205.48 = 8,025.50/x
  3. Step 3: Cross multiply
    28,802x = 43,205.48 × 8,025.50
  4. Step 4: Simplify right side
    28,802x = 346,745,579.74
  5. Step 5: Solve for x
    x = 346,745,579.74/28,802
  6. Step 6: Final answer
    x = 12,038.94

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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.