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Finding the Fourth Proportional to 7,148.38, 10,723.04 and 1,954.26

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Solution

The fourth proportional to 7,148.38, 10,723.04 and 1,954.26 is: 2,931.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.38 : 10,723.04 = 1,954.26 : x
  2. Step 2: Convert to fraction form
    7,148.38/10,723.04 = 1,954.26/x
  3. Step 3: Cross multiply
    7,148.38x = 10,723.04 × 1,954.26
  4. Step 4: Simplify right side
    7,148.38x = 20,955,608.15
  5. Step 5: Solve for x
    x = 20,955,608.15/7,148.38
  6. Step 6: Final answer
    x = 2,931.52

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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.