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Finding the Fourth Proportional to 2,686.77, 4,030.97 and 838.08

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Solution

The fourth proportional to 2,686.77, 4,030.97 and 838.08 is: 1,257.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.77 : 4,030.97 = 838.08 : x
  2. Step 2: Convert to fraction form
    2,686.77/4,030.97 = 838.08/x
  3. Step 3: Cross multiply
    2,686.77x = 4,030.97 × 838.08
  4. Step 4: Simplify right side
    2,686.77x = 3,378,271.15
  5. Step 5: Solve for x
    x = 3,378,271.15/2,686.77
  6. Step 6: Final answer
    x = 1,257.37

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1.5x scale

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.