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Finding the Fourth Proportional to 7,214.05, 9,956.01 and 4,028.05

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Solution

The fourth proportional to 7,214.05, 9,956.01 and 4,028.05 is: 5,559.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.05 : 9,956.01 = 4,028.05 : x
  2. Step 2: Convert to fraction form
    7,214.05/9,956.01 = 4,028.05/x
  3. Step 3: Cross multiply
    7,214.05x = 9,956.01 × 4,028.05
  4. Step 4: Simplify right side
    7,214.05x = 40,103,306.08
  5. Step 5: Solve for x
    x = 40,103,306.08/7,214.05
  6. Step 6: Final answer
    x = 5,559.06

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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.