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Finding the Fourth Proportional to 4,745.84, 6,528.40 and 3,859.68

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Solution

The fourth proportional to 4,745.84, 6,528.40 and 3,859.68 is: 5,309.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.84 : 6,528.40 = 3,859.68 : x
  2. Step 2: Convert to fraction form
    4,745.84/6,528.40 = 3,859.68/x
  3. Step 3: Cross multiply
    4,745.84x = 6,528.40 × 3,859.68
  4. Step 4: Simplify right side
    4,745.84x = 25,197,534.91
  5. Step 5: Solve for x
    x = 25,197,534.91/4,745.84
  6. Step 6: Final answer
    x = 5,309.39

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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.