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Finding the Fourth Proportional to 13,992, 20,985.44 and 4,631.68

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Solution

The fourth proportional to 13,992, 20,985.44 and 4,631.68 is: 6,946.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,992 : 20,985.44 = 4,631.68 : x
  2. Step 2: Convert to fraction form
    13,992/20,985.44 = 4,631.68/x
  3. Step 3: Cross multiply
    13,992x = 20,985.44 × 4,631.68
  4. Step 4: Simplify right side
    13,992x = 97,197,842.74
  5. Step 5: Solve for x
    x = 97,197,842.74/13,992
  6. Step 6: Final answer
    x = 6,946.67

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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.