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Finding the Fourth Proportional to 5,205.06, 7,810.83 and 1,918.89

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Solution

The fourth proportional to 5,205.06, 7,810.83 and 1,918.89 is: 2,879.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.06 : 7,810.83 = 1,918.89 : x
  2. Step 2: Convert to fraction form
    5,205.06/7,810.83 = 1,918.89/x
  3. Step 3: Cross multiply
    5,205.06x = 7,810.83 × 1,918.89
  4. Step 4: Simplify right side
    5,205.06x = 14,988,123.58
  5. Step 5: Solve for x
    x = 14,988,123.58/5,205.06
  6. Step 6: Final answer
    x = 2,879.53

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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.