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Finding the Fourth Proportional to 5,206.73, 7,805.07 and 1,918.02

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Solution

The fourth proportional to 5,206.73, 7,805.07 and 1,918.02 is: 2,875.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.73 : 7,805.07 = 1,918.02 : x
  2. Step 2: Convert to fraction form
    5,206.73/7,805.07 = 1,918.02/x
  3. Step 3: Cross multiply
    5,206.73x = 7,805.07 × 1,918.02
  4. Step 4: Simplify right side
    5,206.73x = 14,970,280.36
  5. Step 5: Solve for x
    x = 14,970,280.36/5,206.73
  6. Step 6: Final answer
    x = 2,875.18

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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.