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Finding the Fourth Proportional to 8,239, 12,358.56 and 2,083

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Solution

The fourth proportional to 8,239, 12,358.56 and 2,083 is: 3,124.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239 : 12,358.56 = 2,083 : x
  2. Step 2: Convert to fraction form
    8,239/12,358.56 = 2,083/x
  3. Step 3: Cross multiply
    8,239x = 12,358.56 × 2,083
  4. Step 4: Simplify right side
    8,239x = 25,742,880.48
  5. Step 5: Solve for x
    x = 25,742,880.48/8,239
  6. Step 6: Final answer
    x = 3,124.52

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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.