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Finding the Fourth Proportional to 13,205.32, 19,811.28 and 9,317.32

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Solution

The fourth proportional to 13,205.32, 19,811.28 and 9,317.32 is: 13,978.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.32 : 19,811.28 = 9,317.32 : x
  2. Step 2: Convert to fraction form
    13,205.32/19,811.28 = 9,317.32/x
  3. Step 3: Cross multiply
    13,205.32x = 19,811.28 × 9,317.32
  4. Step 4: Simplify right side
    13,205.32x = 184,588,035.37
  5. Step 5: Solve for x
    x = 184,588,035.37/13,205.32
  6. Step 6: Final answer
    x = 13,978.31

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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.