Home / 1,561.24-2,342.58-945.28

Finding the Fourth Proportional to 1,561.24, 2,342.58 and 945.28

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Solution

The fourth proportional to 1,561.24, 2,342.58 and 945.28 is: 1,418.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.24 : 2,342.58 = 945.28 : x
  2. Step 2: Convert to fraction form
    1,561.24/2,342.58 = 945.28/x
  3. Step 3: Cross multiply
    1,561.24x = 2,342.58 × 945.28
  4. Step 4: Simplify right side
    1,561.24x = 2,214,394.02
  5. Step 5: Solve for x
    x = 2,214,394.02/1,561.24
  6. Step 6: Final answer
    x = 1,418.36

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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.