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Finding the Fourth Proportional to 2,666.51, 3,999.12 and 1,184.92

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Solution

The fourth proportional to 2,666.51, 3,999.12 and 1,184.92 is: 1,777.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.51 : 3,999.12 = 1,184.92 : x
  2. Step 2: Convert to fraction form
    2,666.51/3,999.12 = 1,184.92/x
  3. Step 3: Cross multiply
    2,666.51x = 3,999.12 × 1,184.92
  4. Step 4: Simplify right side
    2,666.51x = 4,738,617.27
  5. Step 5: Solve for x
    x = 4,738,617.27/2,666.51
  6. Step 6: Final answer
    x = 1,777.09

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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.