Home / 1,403.10-2,104.65-965.70

Finding the Fourth Proportional to 1,403.10, 2,104.65 and 965.70

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Solution

The fourth proportional to 1,403.10, 2,104.65 and 965.70 is: 1,448.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.10 : 2,104.65 = 965.70 : x
  2. Step 2: Convert to fraction form
    1,403.10/2,104.65 = 965.70/x
  3. Step 3: Cross multiply
    1,403.10x = 2,104.65 × 965.70
  4. Step 4: Simplify right side
    1,403.10x = 2,032,460.51
  5. Step 5: Solve for x
    x = 2,032,460.51/1,403.10
  6. Step 6: Final answer
    x = 1,448.55

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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.