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Finding the Fourth Proportional to 1,246.62, 1,865.58 and 984.36

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Solution

The fourth proportional to 1,246.62, 1,865.58 and 984.36 is: 1,473.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.62 : 1,865.58 = 984.36 : x
  2. Step 2: Convert to fraction form
    1,246.62/1,865.58 = 984.36/x
  3. Step 3: Cross multiply
    1,246.62x = 1,865.58 × 984.36
  4. Step 4: Simplify right side
    1,246.62x = 1,836,402.33
  5. Step 5: Solve for x
    x = 1,836,402.33/1,246.62
  6. Step 6: Final answer
    x = 1,473.11

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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.