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Finding the Fourth Proportional to 20,088.54, 30,135.24 and 9,693

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Solution

The fourth proportional to 20,088.54, 30,135.24 and 9,693 is: 14,540.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,088.54 : 30,135.24 = 9,693 : x
  2. Step 2: Convert to fraction form
    20,088.54/30,135.24 = 9,693/x
  3. Step 3: Cross multiply
    20,088.54x = 30,135.24 × 9,693
  4. Step 4: Simplify right side
    20,088.54x = 292,100,881.32
  5. Step 5: Solve for x
    x = 292,100,881.32/20,088.54
  6. Step 6: Final answer
    x = 14,540.67

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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.