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Finding the Fourth Proportional to 15,502, 21,392.98 and 8,428.44

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Solution

The fourth proportional to 15,502, 21,392.98 and 8,428.44 is: 11,631.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,502 : 21,392.98 = 8,428.44 : x
  2. Step 2: Convert to fraction form
    15,502/21,392.98 = 8,428.44/x
  3. Step 3: Cross multiply
    15,502x = 21,392.98 × 8,428.44
  4. Step 4: Simplify right side
    15,502x = 180,309,448.35
  5. Step 5: Solve for x
    x = 180,309,448.35/15,502
  6. Step 6: Final answer
    x = 11,631.37

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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.