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Finding the Fourth Proportional to 12,309.60, 18,464.40 and 7,109.40

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Solution

The fourth proportional to 12,309.60, 18,464.40 and 7,109.40 is: 10,664.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.60 : 18,464.40 = 7,109.40 : x
  2. Step 2: Convert to fraction form
    12,309.60/18,464.40 = 7,109.40/x
  3. Step 3: Cross multiply
    12,309.60x = 18,464.40 × 7,109.40
  4. Step 4: Simplify right side
    12,309.60x = 131,270,805.36
  5. Step 5: Solve for x
    x = 131,270,805.36/12,309.60
  6. Step 6: Final answer
    x = 10,664.10

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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.