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Finding the Fourth Proportional to 11,871, 17,806.48 and 4,477.12

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Solution

The fourth proportional to 11,871, 17,806.48 and 4,477.12 is: 6,715.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871 : 17,806.48 = 4,477.12 : x
  2. Step 2: Convert to fraction form
    11,871/17,806.48 = 4,477.12/x
  3. Step 3: Cross multiply
    11,871x = 17,806.48 × 4,477.12
  4. Step 4: Simplify right side
    11,871x = 79,721,747.74
  5. Step 5: Solve for x
    x = 79,721,747.74/11,871
  6. Step 6: Final answer
    x = 6,715.67

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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.