Home / 1,416.41-2,125.96-869.66

Finding the Fourth Proportional to 1,416.41, 2,125.96 and 869.66

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Solution

The fourth proportional to 1,416.41, 2,125.96 and 869.66 is: 1,305.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.41 : 2,125.96 = 869.66 : x
  2. Step 2: Convert to fraction form
    1,416.41/2,125.96 = 869.66/x
  3. Step 3: Cross multiply
    1,416.41x = 2,125.96 × 869.66
  4. Step 4: Simplify right side
    1,416.41x = 1,848,862.37
  5. Step 5: Solve for x
    x = 1,848,862.37/1,416.41
  6. Step 6: Final answer
    x = 1,305.32

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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.