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Finding the Fourth Proportional to 1,839.51, 2,757.51 and 971.19

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Solution

The fourth proportional to 1,839.51, 2,757.51 and 971.19 is: 1,455.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,839.51 : 2,757.51 = 971.19 : x
  2. Step 2: Convert to fraction form
    1,839.51/2,757.51 = 971.19/x
  3. Step 3: Cross multiply
    1,839.51x = 2,757.51 × 971.19
  4. Step 4: Simplify right side
    1,839.51x = 2,678,066.14
  5. Step 5: Solve for x
    x = 2,678,066.14/1,839.51
  6. Step 6: Final answer
    x = 1,455.86

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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.