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Finding the Fourth Proportional to 10,729.60, 16,089.60 and 4,153.60

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Solution

The fourth proportional to 10,729.60, 16,089.60 and 4,153.60 is: 6,228.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.60 : 16,089.60 = 4,153.60 : x
  2. Step 2: Convert to fraction form
    10,729.60/16,089.60 = 4,153.60/x
  3. Step 3: Cross multiply
    10,729.60x = 16,089.60 × 4,153.60
  4. Step 4: Simplify right side
    10,729.60x = 66,829,762.56
  5. Step 5: Solve for x
    x = 66,829,762.56/10,729.60
  6. Step 6: Final answer
    x = 6,228.54

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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.