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Finding the Fourth Proportional to 5,847.90, 8,070 and 3,195.30

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Solution

The fourth proportional to 5,847.90, 8,070 and 3,195.30 is: 4,409.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.90 : 8,070 = 3,195.30 : x
  2. Step 2: Convert to fraction form
    5,847.90/8,070 = 3,195.30/x
  3. Step 3: Cross multiply
    5,847.90x = 8,070 × 3,195.30
  4. Step 4: Simplify right side
    5,847.90x = 25,786,071
  5. Step 5: Solve for x
    x = 25,786,071/5,847.90
  6. Step 6: Final answer
    x = 4,409.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.