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Finding the Fourth Proportional to 1,951.36, 2,928.68 and 782.18

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Solution

The fourth proportional to 1,951.36, 2,928.68 and 782.18 is: 1,173.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.36 : 2,928.68 = 782.18 : x
  2. Step 2: Convert to fraction form
    1,951.36/2,928.68 = 782.18/x
  3. Step 3: Cross multiply
    1,951.36x = 2,928.68 × 782.18
  4. Step 4: Simplify right side
    1,951.36x = 2,290,751.01
  5. Step 5: Solve for x
    x = 2,290,751.01/1,951.36
  6. Step 6: Final answer
    x = 1,173.93

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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.