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Finding the Fourth Proportional to 1,303.81, 1,939.09 and 1,270.97

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Solution

The fourth proportional to 1,303.81, 1,939.09 and 1,270.97 is: 1,890.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.81 : 1,939.09 = 1,270.97 : x
  2. Step 2: Convert to fraction form
    1,303.81/1,939.09 = 1,270.97/x
  3. Step 3: Cross multiply
    1,303.81x = 1,939.09 × 1,270.97
  4. Step 4: Simplify right side
    1,303.81x = 2,464,525.22
  5. Step 5: Solve for x
    x = 2,464,525.22/1,303.81
  6. Step 6: Final answer
    x = 1,890.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.