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Finding the Fourth Proportional to 18,764.16, 28,135.84 and 7,678.62

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Solution

The fourth proportional to 18,764.16, 28,135.84 and 7,678.62 is: 11,513.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,764.16 : 28,135.84 = 7,678.62 : x
  2. Step 2: Convert to fraction form
    18,764.16/28,135.84 = 7,678.62/x
  3. Step 3: Cross multiply
    18,764.16x = 28,135.84 × 7,678.62
  4. Step 4: Simplify right side
    18,764.16x = 216,044,423.74
  5. Step 5: Solve for x
    x = 216,044,423.74/18,764.16
  6. Step 6: Final answer
    x = 11,513.67

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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.