Home / 1,458.24-2,184-1,431.36

Finding the Fourth Proportional to 1,458.24, 2,184 and 1,431.36

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Solution

The fourth proportional to 1,458.24, 2,184 and 1,431.36 is: 2,143.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.24 : 2,184 = 1,431.36 : x
  2. Step 2: Convert to fraction form
    1,458.24/2,184 = 1,431.36/x
  3. Step 3: Cross multiply
    1,458.24x = 2,184 × 1,431.36
  4. Step 4: Simplify right side
    1,458.24x = 3,126,090.24
  5. Step 5: Solve for x
    x = 3,126,090.24/1,458.24
  6. Step 6: Final answer
    x = 2,143.74

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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.