Home / 1,412.54-2,109.01-1,325.06

Finding the Fourth Proportional to 1,412.54, 2,109.01 and 1,325.06

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Solution

The fourth proportional to 1,412.54, 2,109.01 and 1,325.06 is: 1,978.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.54 : 2,109.01 = 1,325.06 : x
  2. Step 2: Convert to fraction form
    1,412.54/2,109.01 = 1,325.06/x
  3. Step 3: Cross multiply
    1,412.54x = 2,109.01 × 1,325.06
  4. Step 4: Simplify right side
    1,412.54x = 2,794,564.79
  5. Step 5: Solve for x
    x = 2,794,564.79/1,412.54
  6. Step 6: Final answer
    x = 1,978.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.