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Finding the Fourth Proportional to 1,800.09, 2,484.50 and 1,054.44

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Solution

The fourth proportional to 1,800.09, 2,484.50 and 1,054.44 is: 1,455.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800.09 : 2,484.50 = 1,054.44 : x
  2. Step 2: Convert to fraction form
    1,800.09/2,484.50 = 1,054.44/x
  3. Step 3: Cross multiply
    1,800.09x = 2,484.50 × 1,054.44
  4. Step 4: Simplify right side
    1,800.09x = 2,619,750.91
  5. Step 5: Solve for x
    x = 2,619,750.91/1,800.09
  6. Step 6: Final answer
    x = 1,455.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.