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Finding the Fourth Proportional to 1,800.36, 2,699.52 and 1,184.40

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Solution

The fourth proportional to 1,800.36, 2,699.52 and 1,184.40 is: 1,775.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800.36 : 2,699.52 = 1,184.40 : x
  2. Step 2: Convert to fraction form
    1,800.36/2,699.52 = 1,184.40/x
  3. Step 3: Cross multiply
    1,800.36x = 2,699.52 × 1,184.40
  4. Step 4: Simplify right side
    1,800.36x = 3,197,311.49
  5. Step 5: Solve for x
    x = 3,197,311.49/1,800.36
  6. Step 6: Final answer
    x = 1,775.93

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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.