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Finding the Fourth Proportional to 10,716.40, 16,074.60 and 8,869.60

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Solution

The fourth proportional to 10,716.40, 16,074.60 and 8,869.60 is: 13,304.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,716.40 : 16,074.60 = 8,869.60 : x
  2. Step 2: Convert to fraction form
    10,716.40/16,074.60 = 8,869.60/x
  3. Step 3: Cross multiply
    10,716.40x = 16,074.60 × 8,869.60
  4. Step 4: Simplify right side
    10,716.40x = 142,575,272.16
  5. Step 5: Solve for x
    x = 142,575,272.16/10,716.40
  6. Step 6: Final answer
    x = 13,304.40

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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.