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Finding the Fourth Proportional to 12,179.81, 16,783.03 and 9,347.06

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Solution

The fourth proportional to 12,179.81, 16,783.03 and 9,347.06 is: 12,879.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,179.81 : 16,783.03 = 9,347.06 : x
  2. Step 2: Convert to fraction form
    12,179.81/16,783.03 = 9,347.06/x
  3. Step 3: Cross multiply
    12,179.81x = 16,783.03 × 9,347.06
  4. Step 4: Simplify right side
    12,179.81x = 156,871,988.39
  5. Step 5: Solve for x
    x = 156,871,988.39/12,179.81
  6. Step 6: Final answer
    x = 12,879.67

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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.