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Finding the Fourth Proportional to 2,878.86, 3,971.65 and 1,816.26

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Solution

The fourth proportional to 2,878.86, 3,971.65 and 1,816.26 is: 2,505.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.86 : 3,971.65 = 1,816.26 : x
  2. Step 2: Convert to fraction form
    2,878.86/3,971.65 = 1,816.26/x
  3. Step 3: Cross multiply
    2,878.86x = 3,971.65 × 1,816.26
  4. Step 4: Simplify right side
    2,878.86x = 7,213,539.95
  5. Step 5: Solve for x
    x = 7,213,539.95/2,878.86
  6. Step 6: Final answer
    x = 2,505.69

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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.