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Finding the Fourth Proportional to 12,193.61, 18,281.53 and 8,235.05

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Solution

The fourth proportional to 12,193.61, 18,281.53 and 8,235.05 is: 12,346.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.61 : 18,281.53 = 8,235.05 : x
  2. Step 2: Convert to fraction form
    12,193.61/18,281.53 = 8,235.05/x
  3. Step 3: Cross multiply
    12,193.61x = 18,281.53 × 8,235.05
  4. Step 4: Simplify right side
    12,193.61x = 150,549,232.51
  5. Step 5: Solve for x
    x = 150,549,232.51/12,193.61
  6. Step 6: Final answer
    x = 12,346.57

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Double scale
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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.