Home / 1,538.40-2,308.60-961.60

Finding the Fourth Proportional to 1,538.40, 2,308.60 and 961.60

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Solution

The fourth proportional to 1,538.40, 2,308.60 and 961.60 is: 1,443.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.40 : 2,308.60 = 961.60 : x
  2. Step 2: Convert to fraction form
    1,538.40/2,308.60 = 961.60/x
  3. Step 3: Cross multiply
    1,538.40x = 2,308.60 × 961.60
  4. Step 4: Simplify right side
    1,538.40x = 2,219,949.76
  5. Step 5: Solve for x
    x = 2,219,949.76/1,538.40
  6. Step 6: Final answer
    x = 1,443.03

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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.