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Finding the Fourth Proportional to 13,136, 19,709.76 and 9,656.96

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Solution

The fourth proportional to 13,136, 19,709.76 and 9,656.96 is: 14,489.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,136 : 19,709.76 = 9,656.96 : x
  2. Step 2: Convert to fraction form
    13,136/19,709.76 = 9,656.96/x
  3. Step 3: Cross multiply
    13,136x = 19,709.76 × 9,656.96
  4. Step 4: Simplify right side
    13,136x = 190,336,363.93
  5. Step 5: Solve for x
    x = 190,336,363.93/13,136
  6. Step 6: Final answer
    x = 14,489.67

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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.