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Finding the Fourth Proportional to 6,485.40, 9,728.94 and 2,974.56

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Solution

The fourth proportional to 6,485.40, 9,728.94 and 2,974.56 is: 4,462.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.40 : 9,728.94 = 2,974.56 : x
  2. Step 2: Convert to fraction form
    6,485.40/9,728.94 = 2,974.56/x
  3. Step 3: Cross multiply
    6,485.40x = 9,728.94 × 2,974.56
  4. Step 4: Simplify right side
    6,485.40x = 28,939,315.77
  5. Step 5: Solve for x
    x = 28,939,315.77/6,485.40
  6. Step 6: Final answer
    x = 4,462.23

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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.