Home / 1,564.12-2,158.44-865.48

Finding the Fourth Proportional to 1,564.12, 2,158.44 and 865.48

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Solution

The fourth proportional to 1,564.12, 2,158.44 and 865.48 is: 1,194.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.12 : 2,158.44 = 865.48 : x
  2. Step 2: Convert to fraction form
    1,564.12/2,158.44 = 865.48/x
  3. Step 3: Cross multiply
    1,564.12x = 2,158.44 × 865.48
  4. Step 4: Simplify right side
    1,564.12x = 1,868,086.65
  5. Step 5: Solve for x
    x = 1,868,086.65/1,564.12
  6. Step 6: Final answer
    x = 1,194.34

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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.