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Finding the Fourth Proportional to 12,478.36, 18,706.52 and 5,089

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Solution

The fourth proportional to 12,478.36, 18,706.52 and 5,089 is: 7,629.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,478.36 : 18,706.52 = 5,089 : x
  2. Step 2: Convert to fraction form
    12,478.36/18,706.52 = 5,089/x
  3. Step 3: Cross multiply
    12,478.36x = 18,706.52 × 5,089
  4. Step 4: Simplify right side
    12,478.36x = 95,197,480.28
  5. Step 5: Solve for x
    x = 95,197,480.28/12,478.36
  6. Step 6: Final answer
    x = 7,629.01

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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.