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Finding the Fourth Proportional to 8,409.20, 11,604.24 and 4,631.63

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Solution

The fourth proportional to 8,409.20, 11,604.24 and 4,631.63 is: 6,391.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.20 : 11,604.24 = 4,631.63 : x
  2. Step 2: Convert to fraction form
    8,409.20/11,604.24 = 4,631.63/x
  3. Step 3: Cross multiply
    8,409.20x = 11,604.24 × 4,631.63
  4. Step 4: Simplify right side
    8,409.20x = 53,746,546.11
  5. Step 5: Solve for x
    x = 53,746,546.11/8,409.20
  6. Step 6: Final answer
    x = 6,391.40

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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.