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Finding the Fourth Proportional to 13,498.72, 20,241.58 and 7,653.76

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Solution

The fourth proportional to 13,498.72, 20,241.58 and 7,653.76 is: 11,476.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,498.72 : 20,241.58 = 7,653.76 : x
  2. Step 2: Convert to fraction form
    13,498.72/20,241.58 = 7,653.76/x
  3. Step 3: Cross multiply
    13,498.72x = 20,241.58 × 7,653.76
  4. Step 4: Simplify right side
    13,498.72x = 154,924,195.34
  5. Step 5: Solve for x
    x = 154,924,195.34/13,498.72
  6. Step 6: Final answer
    x = 11,476.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.