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Finding the Fourth Proportional to 2,862.61, 3,970.62 and 2,786.74

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Solution

The fourth proportional to 2,862.61, 3,970.62 and 2,786.74 is: 3,865.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.61 : 3,970.62 = 2,786.74 : x
  2. Step 2: Convert to fraction form
    2,862.61/3,970.62 = 2,786.74/x
  3. Step 3: Cross multiply
    2,862.61x = 3,970.62 × 2,786.74
  4. Step 4: Simplify right side
    2,862.61x = 11,065,075.65
  5. Step 5: Solve for x
    x = 11,065,075.65/2,862.61
  6. Step 6: Final answer
    x = 3,865.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.