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Finding the Fourth Proportional to 5,633, 8,453.34 and 1,985

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Solution

The fourth proportional to 5,633, 8,453.34 and 1,985 is: 2,978.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633 : 8,453.34 = 1,985 : x
  2. Step 2: Convert to fraction form
    5,633/8,453.34 = 1,985/x
  3. Step 3: Cross multiply
    5,633x = 8,453.34 × 1,985
  4. Step 4: Simplify right side
    5,633x = 16,779,879.90
  5. Step 5: Solve for x
    x = 16,779,879.90/5,633
  6. Step 6: Final answer
    x = 2,978.85

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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.