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Finding the Fourth Proportional to 21,063.24, 31,590 and 7,916.94

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Solution

The fourth proportional to 21,063.24, 31,590 and 7,916.94 is: 11,873.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,063.24 : 31,590 = 7,916.94 : x
  2. Step 2: Convert to fraction form
    21,063.24/31,590 = 7,916.94/x
  3. Step 3: Cross multiply
    21,063.24x = 31,590 × 7,916.94
  4. Step 4: Simplify right side
    21,063.24x = 250,096,134.60
  5. Step 5: Solve for x
    x = 250,096,134.60/21,063.24
  6. Step 6: Final answer
    x = 11,873.58

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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.