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Finding the Fourth Proportional to 7,149.07, 10,723.80 and 1,954.95

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Solution

The fourth proportional to 7,149.07, 10,723.80 and 1,954.95 is: 2,932.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.07 : 10,723.80 = 1,954.95 : x
  2. Step 2: Convert to fraction form
    7,149.07/10,723.80 = 1,954.95/x
  3. Step 3: Cross multiply
    7,149.07x = 10,723.80 × 1,954.95
  4. Step 4: Simplify right side
    7,149.07x = 20,964,492.81
  5. Step 5: Solve for x
    x = 20,964,492.81/7,149.07
  6. Step 6: Final answer
    x = 2,932.48

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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.