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Finding the Fourth Proportional to 1,876.95, 2,816.91 and 780.75

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Solution

The fourth proportional to 1,876.95, 2,816.91 and 780.75 is: 1,171.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.95 : 2,816.91 = 780.75 : x
  2. Step 2: Convert to fraction form
    1,876.95/2,816.91 = 780.75/x
  3. Step 3: Cross multiply
    1,876.95x = 2,816.91 × 780.75
  4. Step 4: Simplify right side
    1,876.95x = 2,199,302.48
  5. Step 5: Solve for x
    x = 2,199,302.48/1,876.95
  6. Step 6: Final answer
    x = 1,171.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.