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Finding the Fourth Proportional to 18,970.84, 28,473.74 and 9,617.50

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Solution

The fourth proportional to 18,970.84, 28,473.74 and 9,617.50 is: 14,435.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,970.84 : 28,473.74 = 9,617.50 : x
  2. Step 2: Convert to fraction form
    18,970.84/28,473.74 = 9,617.50/x
  3. Step 3: Cross multiply
    18,970.84x = 28,473.74 × 9,617.50
  4. Step 4: Simplify right side
    18,970.84x = 273,846,194.45
  5. Step 5: Solve for x
    x = 273,846,194.45/18,970.84
  6. Step 6: Final answer
    x = 14,435.11

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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.