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Finding the Fourth Proportional to 5,543, 8,315.78 and 1,895

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Solution

The fourth proportional to 5,543, 8,315.78 and 1,895 is: 2,842.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,543 : 8,315.78 = 1,895 : x
  2. Step 2: Convert to fraction form
    5,543/8,315.78 = 1,895/x
  3. Step 3: Cross multiply
    5,543x = 8,315.78 × 1,895
  4. Step 4: Simplify right side
    5,543x = 15,758,403.10
  5. Step 5: Solve for x
    x = 15,758,403.10/5,543
  6. Step 6: Final answer
    x = 2,842.94

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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.