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Finding the Fourth Proportional to 7,220.96, 9,964.91 and 4,077.15

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Solution

The fourth proportional to 7,220.96, 9,964.91 and 4,077.15 is: 5,626.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,220.96 : 9,964.91 = 4,077.15 : x
  2. Step 2: Convert to fraction form
    7,220.96/9,964.91 = 4,077.15/x
  3. Step 3: Cross multiply
    7,220.96x = 9,964.91 × 4,077.15
  4. Step 4: Simplify right side
    7,220.96x = 40,628,405.63
  5. Step 5: Solve for x
    x = 40,628,405.63/7,220.96
  6. Step 6: Final answer
    x = 5,626.46

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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.