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Finding the Fourth Proportional to 13,603.94, 20,416.88 and 7,032

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Solution

The fourth proportional to 13,603.94, 20,416.88 and 7,032 is: 10,553.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,603.94 : 20,416.88 = 7,032 : x
  2. Step 2: Convert to fraction form
    13,603.94/20,416.88 = 7,032/x
  3. Step 3: Cross multiply
    13,603.94x = 20,416.88 × 7,032
  4. Step 4: Simplify right side
    13,603.94x = 143,571,500.16
  5. Step 5: Solve for x
    x = 143,571,500.16/13,603.94
  6. Step 6: Final answer
    x = 10,553.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.