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Finding the Fourth Proportional to 3,213, 4,820.26 and 1,364.20

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Solution

The fourth proportional to 3,213, 4,820.26 and 1,364.20 is: 2,046.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213 : 4,820.26 = 1,364.20 : x
  2. Step 2: Convert to fraction form
    3,213/4,820.26 = 1,364.20/x
  3. Step 3: Cross multiply
    3,213x = 4,820.26 × 1,364.20
  4. Step 4: Simplify right side
    3,213x = 6,575,798.69
  5. Step 5: Solve for x
    x = 6,575,798.69/3,213
  6. Step 6: Final answer
    x = 2,046.62

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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.