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Finding the Fourth Proportional to 19,876.41, 29,814.50 and 5,085.29

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Solution

The fourth proportional to 19,876.41, 29,814.50 and 5,085.29 is: 7,627.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,876.41 : 29,814.50 = 5,085.29 : x
  2. Step 2: Convert to fraction form
    19,876.41/29,814.50 = 5,085.29/x
  3. Step 3: Cross multiply
    19,876.41x = 29,814.50 × 5,085.29
  4. Step 4: Simplify right side
    19,876.41x = 151,615,465.95
  5. Step 5: Solve for x
    x = 151,615,465.95/19,876.41
  6. Step 6: Final answer
    x = 7,627.91

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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.