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Finding the Fourth Proportional to 10,321.80, 15,505.74 and 9,933

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Solution

The fourth proportional to 10,321.80, 15,505.74 and 9,933 is: 14,921.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.80 : 15,505.74 = 9,933 : x
  2. Step 2: Convert to fraction form
    10,321.80/15,505.74 = 9,933/x
  3. Step 3: Cross multiply
    10,321.80x = 15,505.74 × 9,933
  4. Step 4: Simplify right side
    10,321.80x = 154,018,515.42
  5. Step 5: Solve for x
    x = 154,018,515.42/10,321.80
  6. Step 6: Final answer
    x = 14,921.67

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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.