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Finding the Fourth Proportional to 13,197, 18,210.99 and 7,228.74

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Solution

The fourth proportional to 13,197, 18,210.99 and 7,228.74 is: 9,975.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197 : 18,210.99 = 7,228.74 : x
  2. Step 2: Convert to fraction form
    13,197/18,210.99 = 7,228.74/x
  3. Step 3: Cross multiply
    13,197x = 18,210.99 × 7,228.74
  4. Step 4: Simplify right side
    13,197x = 131,642,511.85
  5. Step 5: Solve for x
    x = 131,642,511.85/13,197
  6. Step 6: Final answer
    x = 9,975.18

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1.5x scale

Why These Related Problems?

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