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Finding the Fourth Proportional to 7,124.96, 10,686.96 and 2,194.16

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Solution

The fourth proportional to 7,124.96, 10,686.96 and 2,194.16 is: 3,291.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.96 : 10,686.96 = 2,194.16 : x
  2. Step 2: Convert to fraction form
    7,124.96/10,686.96 = 2,194.16/x
  3. Step 3: Cross multiply
    7,124.96x = 10,686.96 × 2,194.16
  4. Step 4: Simplify right side
    7,124.96x = 23,448,900.15
  5. Step 5: Solve for x
    x = 23,448,900.15/7,124.96
  6. Step 6: Final answer
    x = 3,291.09

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1.5x scale

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.