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Finding the Fourth Proportional to 5,695.29, 8,542.94 and 1,800

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Solution

The fourth proportional to 5,695.29, 8,542.94 and 1,800 is: 2,700

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.29 : 8,542.94 = 1,800 : x
  2. Step 2: Convert to fraction form
    5,695.29/8,542.94 = 1,800/x
  3. Step 3: Cross multiply
    5,695.29x = 8,542.94 × 1,800
  4. Step 4: Simplify right side
    5,695.29x = 15,377,283
  5. Step 5: Solve for x
    x = 15,377,283/5,695.29
  6. Step 6: Final answer
    x = 2,700

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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.