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Finding the Fourth Proportional to 11,494.12, 15,863.62 and 7,020.48

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Solution

The fourth proportional to 11,494.12, 15,863.62 and 7,020.48 is: 9,689.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.12 : 15,863.62 = 7,020.48 : x
  2. Step 2: Convert to fraction form
    11,494.12/15,863.62 = 7,020.48/x
  3. Step 3: Cross multiply
    11,494.12x = 15,863.62 × 7,020.48
  4. Step 4: Simplify right side
    11,494.12x = 111,370,226.94
  5. Step 5: Solve for x
    x = 111,370,226.94/11,494.12
  6. Step 6: Final answer
    x = 9,689.32

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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.