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Finding the Fourth Proportional to 3,089.36, 4,633.80 and 780.80

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Solution

The fourth proportional to 3,089.36, 4,633.80 and 780.80 is: 1,171.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.36 : 4,633.80 = 780.80 : x
  2. Step 2: Convert to fraction form
    3,089.36/4,633.80 = 780.80/x
  3. Step 3: Cross multiply
    3,089.36x = 4,633.80 × 780.80
  4. Step 4: Simplify right side
    3,089.36x = 3,618,071.04
  5. Step 5: Solve for x
    x = 3,618,071.04/3,089.36
  6. Step 6: Final answer
    x = 1,171.14

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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.