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Finding the Fourth Proportional to 4,647.66, 6,409.20 and 4,263.49

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Solution

The fourth proportional to 4,647.66, 6,409.20 and 4,263.49 is: 5,879.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.66 : 6,409.20 = 4,263.49 : x
  2. Step 2: Convert to fraction form
    4,647.66/6,409.20 = 4,263.49/x
  3. Step 3: Cross multiply
    4,647.66x = 6,409.20 × 4,263.49
  4. Step 4: Simplify right side
    4,647.66x = 27,325,560.11
  5. Step 5: Solve for x
    x = 27,325,560.11/4,647.66
  6. Step 6: Final answer
    x = 5,879.42

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1.5x scale

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.