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Finding the Fourth Proportional to 3,533.76, 5,294.88 and 1,800

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Solution

The fourth proportional to 3,533.76, 5,294.88 and 1,800 is: 2,697.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.76 : 5,294.88 = 1,800 : x
  2. Step 2: Convert to fraction form
    3,533.76/5,294.88 = 1,800/x
  3. Step 3: Cross multiply
    3,533.76x = 5,294.88 × 1,800
  4. Step 4: Simplify right side
    3,533.76x = 9,530,784
  5. Step 5: Solve for x
    x = 9,530,784/3,533.76
  6. Step 6: Final answer
    x = 2,697.07

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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.