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Finding the Fourth Proportional to 5,708.90, 8,564.70 and 1,813.34

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Solution

The fourth proportional to 5,708.90, 8,564.70 and 1,813.34 is: 2,720.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.90 : 8,564.70 = 1,813.34 : x
  2. Step 2: Convert to fraction form
    5,708.90/8,564.70 = 1,813.34/x
  3. Step 3: Cross multiply
    5,708.90x = 8,564.70 × 1,813.34
  4. Step 4: Simplify right side
    5,708.90x = 15,530,713.10
  5. Step 5: Solve for x
    x = 15,530,713.10/5,708.90
  6. Step 6: Final answer
    x = 2,720.44

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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.