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Finding the Fourth Proportional to 2,000.77, 2,987.53 and 1,791.18

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Solution

The fourth proportional to 2,000.77, 2,987.53 and 1,791.18 is: 2,674.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.77 : 2,987.53 = 1,791.18 : x
  2. Step 2: Convert to fraction form
    2,000.77/2,987.53 = 1,791.18/x
  3. Step 3: Cross multiply
    2,000.77x = 2,987.53 × 1,791.18
  4. Step 4: Simplify right side
    2,000.77x = 5,351,199.51
  5. Step 5: Solve for x
    x = 5,351,199.51/2,000.77
  6. Step 6: Final answer
    x = 2,674.57

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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.