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Finding the Fourth Proportional to 12,193.40, 18,246.90 and 8,305.40

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Solution

The fourth proportional to 12,193.40, 18,246.90 and 8,305.40 is: 12,428.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.40 : 18,246.90 = 8,305.40 : x
  2. Step 2: Convert to fraction form
    12,193.40/18,246.90 = 8,305.40/x
  3. Step 3: Cross multiply
    12,193.40x = 18,246.90 × 8,305.40
  4. Step 4: Simplify right side
    12,193.40x = 151,547,803.26
  5. Step 5: Solve for x
    x = 151,547,803.26/12,193.40
  6. Step 6: Final answer
    x = 12,428.67

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1.5x scale

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.