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Finding the Fourth Proportional to 2,586.65, 3,878.26 and 943

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Solution

The fourth proportional to 2,586.65, 3,878.26 and 943 is: 1,413.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.65 : 3,878.26 = 943 : x
  2. Step 2: Convert to fraction form
    2,586.65/3,878.26 = 943/x
  3. Step 3: Cross multiply
    2,586.65x = 3,878.26 × 943
  4. Step 4: Simplify right side
    2,586.65x = 3,657,199.18
  5. Step 5: Solve for x
    x = 3,657,199.18/2,586.65
  6. Step 6: Final answer
    x = 1,413.87

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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.