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Finding the Fourth Proportional to 11,763.90, 17,670.45 and 9,918.62

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Solution

The fourth proportional to 11,763.90, 17,670.45 and 9,918.62 is: 14,898.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.90 : 17,670.45 = 9,918.62 : x
  2. Step 2: Convert to fraction form
    11,763.90/17,670.45 = 9,918.62/x
  3. Step 3: Cross multiply
    11,763.90x = 17,670.45 × 9,918.62
  4. Step 4: Simplify right side
    11,763.90x = 175,266,493.89
  5. Step 5: Solve for x
    x = 175,266,493.89/11,763.90
  6. Step 6: Final answer
    x = 14,898.67

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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.