Home / 1,427.12-1,967.64-1,164.56

Finding the Fourth Proportional to 1,427.12, 1,967.64 and 1,164.56

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Solution

The fourth proportional to 1,427.12, 1,967.64 and 1,164.56 is: 1,605.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.12 : 1,967.64 = 1,164.56 : x
  2. Step 2: Convert to fraction form
    1,427.12/1,967.64 = 1,164.56/x
  3. Step 3: Cross multiply
    1,427.12x = 1,967.64 × 1,164.56
  4. Step 4: Simplify right side
    1,427.12x = 2,291,434.84
  5. Step 5: Solve for x
    x = 2,291,434.84/1,427.12
  6. Step 6: Final answer
    x = 1,605.64

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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.