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Finding the Fourth Proportional to 7,124.68, 10,686.70 and 2,194.08

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Solution

The fourth proportional to 7,124.68, 10,686.70 and 2,194.08 is: 3,291.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.68 : 10,686.70 = 2,194.08 : x
  2. Step 2: Convert to fraction form
    7,124.68/10,686.70 = 2,194.08/x
  3. Step 3: Cross multiply
    7,124.68x = 10,686.70 × 2,194.08
  4. Step 4: Simplify right side
    7,124.68x = 23,447,474.74
  5. Step 5: Solve for x
    x = 23,447,474.74/7,124.68
  6. Step 6: Final answer
    x = 3,291.02

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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.