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Finding the Fourth Proportional to 6,407.54, 9,607.90 and 3,286.28

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Solution

The fourth proportional to 6,407.54, 9,607.90 and 3,286.28 is: 4,927.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.54 : 9,607.90 = 3,286.28 : x
  2. Step 2: Convert to fraction form
    6,407.54/9,607.90 = 3,286.28/x
  3. Step 3: Cross multiply
    6,407.54x = 9,607.90 × 3,286.28
  4. Step 4: Simplify right side
    6,407.54x = 31,574,249.61
  5. Step 5: Solve for x
    x = 31,574,249.61/6,407.54
  6. Step 6: Final answer
    x = 4,927.67

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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.