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Finding the Fourth Proportional to 3,190.78, 4,779.24 and 1,543.87

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Solution

The fourth proportional to 3,190.78, 4,779.24 and 1,543.87 is: 2,312.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.78 : 4,779.24 = 1,543.87 : x
  2. Step 2: Convert to fraction form
    3,190.78/4,779.24 = 1,543.87/x
  3. Step 3: Cross multiply
    3,190.78x = 4,779.24 × 1,543.87
  4. Step 4: Simplify right side
    3,190.78x = 7,378,525.26
  5. Step 5: Solve for x
    x = 7,378,525.26/3,190.78
  6. Step 6: Final answer
    x = 2,312.45

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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.