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Finding the Fourth Proportional to 6,287.94, 9,431.90 and 1,670.94

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Solution

The fourth proportional to 6,287.94, 9,431.90 and 1,670.94 is: 2,506.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.94 : 9,431.90 = 1,670.94 : x
  2. Step 2: Convert to fraction form
    6,287.94/9,431.90 = 1,670.94/x
  3. Step 3: Cross multiply
    6,287.94x = 9,431.90 × 1,670.94
  4. Step 4: Simplify right side
    6,287.94x = 15,760,138.99
  5. Step 5: Solve for x
    x = 15,760,138.99/6,287.94
  6. Step 6: Final answer
    x = 2,506.41

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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.