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Finding the Fourth Proportional to 18,964.14, 28,434.06 and 7,878.48

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Solution

The fourth proportional to 18,964.14, 28,434.06 and 7,878.48 is: 11,812.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,964.14 : 28,434.06 = 7,878.48 : x
  2. Step 2: Convert to fraction form
    18,964.14/28,434.06 = 7,878.48/x
  3. Step 3: Cross multiply
    18,964.14x = 28,434.06 × 7,878.48
  4. Step 4: Simplify right side
    18,964.14x = 224,017,173.03
  5. Step 5: Solve for x
    x = 224,017,173.03/18,964.14
  6. Step 6: Final answer
    x = 11,812.67

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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.