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Finding the Fourth Proportional to 2,813.06, 4,219.59 and 761.06

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Solution

The fourth proportional to 2,813.06, 4,219.59 and 761.06 is: 1,141.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.06 : 4,219.59 = 761.06 : x
  2. Step 2: Convert to fraction form
    2,813.06/4,219.59 = 761.06/x
  3. Step 3: Cross multiply
    2,813.06x = 4,219.59 × 761.06
  4. Step 4: Simplify right side
    2,813.06x = 3,211,374.57
  5. Step 5: Solve for x
    x = 3,211,374.57/2,813.06
  6. Step 6: Final answer
    x = 1,141.59

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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.