Home / 1,566.41-2,161.61-867.77

Finding the Fourth Proportional to 1,566.41, 2,161.61 and 867.77

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Solution

The fourth proportional to 1,566.41, 2,161.61 and 867.77 is: 1,197.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.41 : 2,161.61 = 867.77 : x
  2. Step 2: Convert to fraction form
    1,566.41/2,161.61 = 867.77/x
  3. Step 3: Cross multiply
    1,566.41x = 2,161.61 × 867.77
  4. Step 4: Simplify right side
    1,566.41x = 1,875,771.67
  5. Step 5: Solve for x
    x = 1,875,771.67/1,566.41
  6. Step 6: Final answer
    x = 1,197.50

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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.