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Finding the Fourth Proportional to 13,417, 18,515.78 and 7,529

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Solution

The fourth proportional to 13,417, 18,515.78 and 7,529 is: 10,390.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,417 : 18,515.78 = 7,529 : x
  2. Step 2: Convert to fraction form
    13,417/18,515.78 = 7,529/x
  3. Step 3: Cross multiply
    13,417x = 18,515.78 × 7,529
  4. Step 4: Simplify right side
    13,417x = 139,405,307.62
  5. Step 5: Solve for x
    x = 139,405,307.62/13,417
  6. Step 6: Final answer
    x = 10,390.20

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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.