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Finding the Fourth Proportional to 28,102.32, 42,143.76 and 9,630

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Solution

The fourth proportional to 28,102.32, 42,143.76 and 9,630 is: 14,441.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,102.32 : 42,143.76 = 9,630 : x
  2. Step 2: Convert to fraction form
    28,102.32/42,143.76 = 9,630/x
  3. Step 3: Cross multiply
    28,102.32x = 42,143.76 × 9,630
  4. Step 4: Simplify right side
    28,102.32x = 405,844,408.80
  5. Step 5: Solve for x
    x = 405,844,408.80/28,102.32
  6. Step 6: Final answer
    x = 14,441.67

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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.