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Finding the Fourth Proportional to 13,211, 19,802.53 and 4,885.67

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Solution

The fourth proportional to 13,211, 19,802.53 and 4,885.67 is: 7,323.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,211 : 19,802.53 = 4,885.67 : x
  2. Step 2: Convert to fraction form
    13,211/19,802.53 = 4,885.67/x
  3. Step 3: Cross multiply
    13,211x = 19,802.53 × 4,885.67
  4. Step 4: Simplify right side
    13,211x = 96,748,626.75
  5. Step 5: Solve for x
    x = 96,748,626.75/13,211
  6. Step 6: Final answer
    x = 7,323.34

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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.