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Finding the Fourth Proportional to 4,921.41, 7,382.09 and 1,223.64

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Solution

The fourth proportional to 4,921.41, 7,382.09 and 1,223.64 is: 1,835.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,921.41 : 7,382.09 = 1,223.64 : x
  2. Step 2: Convert to fraction form
    4,921.41/7,382.09 = 1,223.64/x
  3. Step 3: Cross multiply
    4,921.41x = 7,382.09 × 1,223.64
  4. Step 4: Simplify right side
    4,921.41x = 9,033,014.49
  5. Step 5: Solve for x
    x = 9,033,014.49/4,921.41
  6. Step 6: Final answer
    x = 1,835.45

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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.