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Finding the Fourth Proportional to 4,816, 6,643.84 and 3,419.52

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Solution

The fourth proportional to 4,816, 6,643.84 and 3,419.52 is: 4,717.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,816 : 6,643.84 = 3,419.52 : x
  2. Step 2: Convert to fraction form
    4,816/6,643.84 = 3,419.52/x
  3. Step 3: Cross multiply
    4,816x = 6,643.84 × 3,419.52
  4. Step 4: Simplify right side
    4,816x = 22,718,743.76
  5. Step 5: Solve for x
    x = 22,718,743.76/4,816
  6. Step 6: Final answer
    x = 4,717.35

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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.