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Finding the Fourth Proportional to 4,721, 7,081.54 and 1,643

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Solution

The fourth proportional to 4,721, 7,081.54 and 1,643 is: 2,464.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,721 : 7,081.54 = 1,643 : x
  2. Step 2: Convert to fraction form
    4,721/7,081.54 = 1,643/x
  3. Step 3: Cross multiply
    4,721x = 7,081.54 × 1,643
  4. Step 4: Simplify right side
    4,721x = 11,634,970.22
  5. Step 5: Solve for x
    x = 11,634,970.22/4,721
  6. Step 6: Final answer
    x = 2,464.51

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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.