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Finding the Fourth Proportional to 13,414, 18,511.64 and 7,526

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Solution

The fourth proportional to 13,414, 18,511.64 and 7,526 is: 10,386.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414 : 18,511.64 = 7,526 : x
  2. Step 2: Convert to fraction form
    13,414/18,511.64 = 7,526/x
  3. Step 3: Cross multiply
    13,414x = 18,511.64 × 7,526
  4. Step 4: Simplify right side
    13,414x = 139,318,602.64
  5. Step 5: Solve for x
    x = 139,318,602.64/13,414
  6. Step 6: Final answer
    x = 10,386.06

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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.