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Finding the Fourth Proportional to 11,491.84, 15,860.08 and 6,776

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Solution

The fourth proportional to 11,491.84, 15,860.08 and 6,776 is: 9,351.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491.84 : 15,860.08 = 6,776 : x
  2. Step 2: Convert to fraction form
    11,491.84/15,860.08 = 6,776/x
  3. Step 3: Cross multiply
    11,491.84x = 15,860.08 × 6,776
  4. Step 4: Simplify right side
    11,491.84x = 107,467,902.08
  5. Step 5: Solve for x
    x = 107,467,902.08/11,491.84
  6. Step 6: Final answer
    x = 9,351.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.