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Finding the Fourth Proportional to 2,670.21, 4,005.21 and 722.46

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Solution

The fourth proportional to 2,670.21, 4,005.21 and 722.46 is: 1,083.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.21 : 4,005.21 = 722.46 : x
  2. Step 2: Convert to fraction form
    2,670.21/4,005.21 = 722.46/x
  3. Step 3: Cross multiply
    2,670.21x = 4,005.21 × 722.46
  4. Step 4: Simplify right side
    2,670.21x = 2,893,583.99
  5. Step 5: Solve for x
    x = 2,893,583.99/2,670.21
  6. Step 6: Final answer
    x = 1,083.66

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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.