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Finding the Fourth Proportional to 12,419.62, 18,629.16 and 5,842.16

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Solution

The fourth proportional to 12,419.62, 18,629.16 and 5,842.16 is: 8,763.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,419.62 : 18,629.16 = 5,842.16 : x
  2. Step 2: Convert to fraction form
    12,419.62/18,629.16 = 5,842.16/x
  3. Step 3: Cross multiply
    12,419.62x = 18,629.16 × 5,842.16
  4. Step 4: Simplify right side
    12,419.62x = 108,834,533.39
  5. Step 5: Solve for x
    x = 108,834,533.39/12,419.62
  6. Step 6: Final answer
    x = 8,763.11

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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.