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Finding the Fourth Proportional to 8,812.80, 13,213.80 and 5,113.20

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Solution

The fourth proportional to 8,812.80, 13,213.80 and 5,113.20 is: 7,666.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,812.80 : 13,213.80 = 5,113.20 : x
  2. Step 2: Convert to fraction form
    8,812.80/13,213.80 = 5,113.20/x
  3. Step 3: Cross multiply
    8,812.80x = 13,213.80 × 5,113.20
  4. Step 4: Simplify right side
    8,812.80x = 67,564,802.16
  5. Step 5: Solve for x
    x = 67,564,802.16/8,812.80
  6. Step 6: Final answer
    x = 7,666.67

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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.