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Finding the Fourth Proportional to 5,810.40, 8,713.08 and 2,111.40

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Solution

The fourth proportional to 5,810.40, 8,713.08 and 2,111.40 is: 3,166.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,810.40 : 8,713.08 = 2,111.40 : x
  2. Step 2: Convert to fraction form
    5,810.40/8,713.08 = 2,111.40/x
  3. Step 3: Cross multiply
    5,810.40x = 8,713.08 × 2,111.40
  4. Step 4: Simplify right side
    5,810.40x = 18,396,797.11
  5. Step 5: Solve for x
    x = 18,396,797.11/5,810.40
  6. Step 6: Final answer
    x = 3,166.18

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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.