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Finding the Fourth Proportional to 7,102.55, 10,653.81 and 1,908.42

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Solution

The fourth proportional to 7,102.55, 10,653.81 and 1,908.42 is: 2,862.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.55 : 10,653.81 = 1,908.42 : x
  2. Step 2: Convert to fraction form
    7,102.55/10,653.81 = 1,908.42/x
  3. Step 3: Cross multiply
    7,102.55x = 10,653.81 × 1,908.42
  4. Step 4: Simplify right side
    7,102.55x = 20,331,975.49
  5. Step 5: Solve for x
    x = 20,331,975.49/7,102.55
  6. Step 6: Final answer
    x = 2,862.63

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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.