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Finding the Fourth Proportional to 1,876.98, 2,813.95 and 782.17

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Solution

The fourth proportional to 1,876.98, 2,813.95 and 782.17 is: 1,172.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.98 : 2,813.95 = 782.17 : x
  2. Step 2: Convert to fraction form
    1,876.98/2,813.95 = 782.17/x
  3. Step 3: Cross multiply
    1,876.98x = 2,813.95 × 782.17
  4. Step 4: Simplify right side
    1,876.98x = 2,200,987.27
  5. Step 5: Solve for x
    x = 2,200,987.27/1,876.98
  6. Step 6: Final answer
    x = 1,172.62

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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.