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Finding the Fourth Proportional to 2,806.84, 3,870.75 and 2,475.55

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Solution

The fourth proportional to 2,806.84, 3,870.75 and 2,475.55 is: 3,413.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.84 : 3,870.75 = 2,475.55 : x
  2. Step 2: Convert to fraction form
    2,806.84/3,870.75 = 2,475.55/x
  3. Step 3: Cross multiply
    2,806.84x = 3,870.75 × 2,475.55
  4. Step 4: Simplify right side
    2,806.84x = 9,582,235.16
  5. Step 5: Solve for x
    x = 9,582,235.16/2,806.84
  6. Step 6: Final answer
    x = 3,413.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.