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Finding the Fourth Proportional to 7,148.22, 9,864.21 and 3,917.88

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Solution

The fourth proportional to 7,148.22, 9,864.21 and 3,917.88 is: 5,406.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.22 : 9,864.21 = 3,917.88 : x
  2. Step 2: Convert to fraction form
    7,148.22/9,864.21 = 3,917.88/x
  3. Step 3: Cross multiply
    7,148.22x = 9,864.21 × 3,917.88
  4. Step 4: Simplify right side
    7,148.22x = 38,646,791.07
  5. Step 5: Solve for x
    x = 38,646,791.07/7,148.22
  6. Step 6: Final answer
    x = 5,406.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.