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Finding the Fourth Proportional to 1,382.24, 1,906.74 and 909.64

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Solution

The fourth proportional to 1,382.24, 1,906.74 and 909.64 is: 1,254.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.24 : 1,906.74 = 909.64 : x
  2. Step 2: Convert to fraction form
    1,382.24/1,906.74 = 909.64/x
  3. Step 3: Cross multiply
    1,382.24x = 1,906.74 × 909.64
  4. Step 4: Simplify right side
    1,382.24x = 1,734,442.21
  5. Step 5: Solve for x
    x = 1,734,442.21/1,382.24
  6. Step 6: Final answer
    x = 1,254.81

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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.