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Finding the Fourth Proportional to 1,083.96, 1,492.98 and 936.36

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Solution

The fourth proportional to 1,083.96, 1,492.98 and 936.36 is: 1,289.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.96 : 1,492.98 = 936.36 : x
  2. Step 2: Convert to fraction form
    1,083.96/1,492.98 = 936.36/x
  3. Step 3: Cross multiply
    1,083.96x = 1,492.98 × 936.36
  4. Step 4: Simplify right side
    1,083.96x = 1,397,966.75
  5. Step 5: Solve for x
    x = 1,397,966.75/1,083.96
  6. Step 6: Final answer
    x = 1,289.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.