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Finding the Fourth Proportional to 1,879.97, 2,816.10 and 1,056.51

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Solution

The fourth proportional to 1,879.97, 2,816.10 and 1,056.51 is: 1,582.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.97 : 2,816.10 = 1,056.51 : x
  2. Step 2: Convert to fraction form
    1,879.97/2,816.10 = 1,056.51/x
  3. Step 3: Cross multiply
    1,879.97x = 2,816.10 × 1,056.51
  4. Step 4: Simplify right side
    1,879.97x = 2,975,237.81
  5. Step 5: Solve for x
    x = 2,975,237.81/1,879.97
  6. Step 6: Final answer
    x = 1,582.60

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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.