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Finding the Fourth Proportional to 6,409.76, 9,601.18 and 4,068.56

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Solution

The fourth proportional to 6,409.76, 9,601.18 and 4,068.56 is: 6,094.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.76 : 9,601.18 = 4,068.56 : x
  2. Step 2: Convert to fraction form
    6,409.76/9,601.18 = 4,068.56/x
  3. Step 3: Cross multiply
    6,409.76x = 9,601.18 × 4,068.56
  4. Step 4: Simplify right side
    6,409.76x = 39,062,976.90
  5. Step 5: Solve for x
    x = 39,062,976.90/6,409.76
  6. Step 6: Final answer
    x = 6,094.30

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1.5x scale

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.