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Finding the Fourth Proportional to 13,507, 20,260.50 and 3,645.52

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Solution

The fourth proportional to 13,507, 20,260.50 and 3,645.52 is: 5,468.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507 : 20,260.50 = 3,645.52 : x
  2. Step 2: Convert to fraction form
    13,507/20,260.50 = 3,645.52/x
  3. Step 3: Cross multiply
    13,507x = 20,260.50 × 3,645.52
  4. Step 4: Simplify right side
    13,507x = 73,860,057.96
  5. Step 5: Solve for x
    x = 73,860,057.96/13,507
  6. Step 6: Final answer
    x = 5,468.28

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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.