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Finding the Fourth Proportional to 9,692, 14,538.48 and 3,117.68

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Solution

The fourth proportional to 9,692, 14,538.48 and 3,117.68 is: 4,676.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692 : 14,538.48 = 3,117.68 : x
  2. Step 2: Convert to fraction form
    9,692/14,538.48 = 3,117.68/x
  3. Step 3: Cross multiply
    9,692x = 14,538.48 × 3,117.68
  4. Step 4: Simplify right side
    9,692x = 45,326,328.33
  5. Step 5: Solve for x
    x = 45,326,328.33/9,692
  6. Step 6: Final answer
    x = 4,676.67

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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.