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Finding the Fourth Proportional to 6,381.76, 8,804.64 and 4,146.44

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Solution

The fourth proportional to 6,381.76, 8,804.64 and 4,146.44 is: 5,720.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.76 : 8,804.64 = 4,146.44 : x
  2. Step 2: Convert to fraction form
    6,381.76/8,804.64 = 4,146.44/x
  3. Step 3: Cross multiply
    6,381.76x = 8,804.64 × 4,146.44
  4. Step 4: Simplify right side
    6,381.76x = 36,507,911.48
  5. Step 5: Solve for x
    x = 36,507,911.48/6,381.76
  6. Step 6: Final answer
    x = 5,720.67

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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.