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Finding the Fourth Proportional to 7,894.20, 11,846.70 and 4,384.20

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Solution

The fourth proportional to 7,894.20, 11,846.70 and 4,384.20 is: 6,579.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.20 : 11,846.70 = 4,384.20 : x
  2. Step 2: Convert to fraction form
    7,894.20/11,846.70 = 4,384.20/x
  3. Step 3: Cross multiply
    7,894.20x = 11,846.70 × 4,384.20
  4. Step 4: Simplify right side
    7,894.20x = 51,938,302.14
  5. Step 5: Solve for x
    x = 51,938,302.14/7,894.20
  6. Step 6: Final answer
    x = 6,579.30

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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.