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Finding the Fourth Proportional to 1,878.50, 2,592.80 and 1,093

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Solution

The fourth proportional to 1,878.50, 2,592.80 and 1,093 is: 1,508.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.50 : 2,592.80 = 1,093 : x
  2. Step 2: Convert to fraction form
    1,878.50/2,592.80 = 1,093/x
  3. Step 3: Cross multiply
    1,878.50x = 2,592.80 × 1,093
  4. Step 4: Simplify right side
    1,878.50x = 2,833,930.40
  5. Step 5: Solve for x
    x = 2,833,930.40/1,878.50
  6. Step 6: Final answer
    x = 1,508.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.