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Finding the Fourth Proportional to 8,213, 11,333.94 and 4,487

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Solution

The fourth proportional to 8,213, 11,333.94 and 4,487 is: 6,192.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213 : 11,333.94 = 4,487 : x
  2. Step 2: Convert to fraction form
    8,213/11,333.94 = 4,487/x
  3. Step 3: Cross multiply
    8,213x = 11,333.94 × 4,487
  4. Step 4: Simplify right side
    8,213x = 50,855,388.78
  5. Step 5: Solve for x
    x = 50,855,388.78/8,213
  6. Step 6: Final answer
    x = 6,192.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.