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Finding the Fourth Proportional to 22,109.64, 30,509.76 and 12,549.72

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Solution

The fourth proportional to 22,109.64, 30,509.76 and 12,549.72 is: 17,317.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,109.64 : 30,509.76 = 12,549.72 : x
  2. Step 2: Convert to fraction form
    22,109.64/30,509.76 = 12,549.72/x
  3. Step 3: Cross multiply
    22,109.64x = 30,509.76 × 12,549.72
  4. Step 4: Simplify right side
    22,109.64x = 382,889,021.54
  5. Step 5: Solve for x
    x = 382,889,021.54/22,109.64
  6. Step 6: Final answer
    x = 17,317.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.