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Finding the Fourth Proportional to 1,968.99, 2,951.40 and 993.03

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Solution

The fourth proportional to 1,968.99, 2,951.40 and 993.03 is: 1,488.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.99 : 2,951.40 = 993.03 : x
  2. Step 2: Convert to fraction form
    1,968.99/2,951.40 = 993.03/x
  3. Step 3: Cross multiply
    1,968.99x = 2,951.40 × 993.03
  4. Step 4: Simplify right side
    1,968.99x = 2,930,828.74
  5. Step 5: Solve for x
    x = 2,930,828.74/1,968.99
  6. Step 6: Final answer
    x = 1,488.49

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Half scale
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Double scale
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Similar ratio
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1.5x scale

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.