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Finding the Fourth Proportional to 34,085.83, 51,143.62 and 11,915.11

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Solution

The fourth proportional to 34,085.83, 51,143.62 and 11,915.11 is: 17,877.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,085.83 : 51,143.62 = 11,915.11 : x
  2. Step 2: Convert to fraction form
    34,085.83/51,143.62 = 11,915.11/x
  3. Step 3: Cross multiply
    34,085.83x = 51,143.62 × 11,915.11
  4. Step 4: Simplify right side
    34,085.83x = 609,381,858.10
  5. Step 5: Solve for x
    x = 609,381,858.10/34,085.83
  6. Step 6: Final answer
    x = 17,877.86

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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.