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Finding the Fourth Proportional to 7,705.60, 11,529.60 and 5,113.60

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Solution

The fourth proportional to 7,705.60, 11,529.60 and 5,113.60 is: 7,651.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.60 : 11,529.60 = 5,113.60 : x
  2. Step 2: Convert to fraction form
    7,705.60/11,529.60 = 5,113.60/x
  3. Step 3: Cross multiply
    7,705.60x = 11,529.60 × 5,113.60
  4. Step 4: Simplify right side
    7,705.60x = 58,957,762.56
  5. Step 5: Solve for x
    x = 58,957,762.56/7,705.60
  6. Step 6: Final answer
    x = 7,651.29

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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.