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Finding the Fourth Proportional to 15,578.21, 23,248.08 and 13,916.09

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Solution

The fourth proportional to 15,578.21, 23,248.08 and 13,916.09 is: 20,767.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,578.21 : 23,248.08 = 13,916.09 : x
  2. Step 2: Convert to fraction form
    15,578.21/23,248.08 = 13,916.09/x
  3. Step 3: Cross multiply
    15,578.21x = 23,248.08 × 13,916.09
  4. Step 4: Simplify right side
    15,578.21x = 323,522,257.37
  5. Step 5: Solve for x
    x = 323,522,257.37/15,578.21
  6. Step 6: Final answer
    x = 20,767.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.