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Finding the Fourth Proportional to 10,830.60, 16,245.90 and 7,914.60

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Solution

The fourth proportional to 10,830.60, 16,245.90 and 7,914.60 is: 11,871.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.60 : 16,245.90 = 7,914.60 : x
  2. Step 2: Convert to fraction form
    10,830.60/16,245.90 = 7,914.60/x
  3. Step 3: Cross multiply
    10,830.60x = 16,245.90 × 7,914.60
  4. Step 4: Simplify right side
    10,830.60x = 128,579,800.14
  5. Step 5: Solve for x
    x = 128,579,800.14/10,830.60
  6. Step 6: Final answer
    x = 11,871.90

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1.5x scale

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.