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Finding the Fourth Proportional to 7,214.40, 9,954.40 and 4,069.44

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Solution

The fourth proportional to 7,214.40, 9,954.40 and 4,069.44 is: 5,615.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.40 : 9,954.40 = 4,069.44 : x
  2. Step 2: Convert to fraction form
    7,214.40/9,954.40 = 4,069.44/x
  3. Step 3: Cross multiply
    7,214.40x = 9,954.40 × 4,069.44
  4. Step 4: Simplify right side
    7,214.40x = 40,508,833.54
  5. Step 5: Solve for x
    x = 40,508,833.54/7,214.40
  6. Step 6: Final answer
    x = 5,615.00

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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.