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Finding the Fourth Proportional to 11,907.60, 16,428.60 and 7,429.20

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Solution

The fourth proportional to 11,907.60, 16,428.60 and 7,429.20 is: 10,249.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.60 : 16,428.60 = 7,429.20 : x
  2. Step 2: Convert to fraction form
    11,907.60/16,428.60 = 7,429.20/x
  3. Step 3: Cross multiply
    11,907.60x = 16,428.60 × 7,429.20
  4. Step 4: Simplify right side
    11,907.60x = 122,051,355.12
  5. Step 5: Solve for x
    x = 122,051,355.12/11,907.60
  6. Step 6: Final answer
    x = 10,249.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.