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Finding the Fourth Proportional to 12,140.40, 18,199.80 and 10,828.20

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Solution

The fourth proportional to 12,140.40, 18,199.80 and 10,828.20 is: 16,232.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,140.40 : 18,199.80 = 10,828.20 : x
  2. Step 2: Convert to fraction form
    12,140.40/18,199.80 = 10,828.20/x
  3. Step 3: Cross multiply
    12,140.40x = 18,199.80 × 10,828.20
  4. Step 4: Simplify right side
    12,140.40x = 197,071,074.36
  5. Step 5: Solve for x
    x = 197,071,074.36/12,140.40
  6. Step 6: Final answer
    x = 16,232.67

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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.