Home / 20,783.54-31,159-9,688.76

Finding the Fourth Proportional to 20,783.54, 31,159 and 9,688.76

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Solution

The fourth proportional to 20,783.54, 31,159 and 9,688.76 is: 14,525.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,783.54 : 31,159 = 9,688.76 : x
  2. Step 2: Convert to fraction form
    20,783.54/31,159 = 9,688.76/x
  3. Step 3: Cross multiply
    20,783.54x = 31,159 × 9,688.76
  4. Step 4: Simplify right side
    20,783.54x = 301,892,072.84
  5. Step 5: Solve for x
    x = 301,892,072.84/20,783.54
  6. Step 6: Final answer
    x = 14,525.54

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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.