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Finding the Fourth Proportional to 7,220.92, 9,965.48 and 4,077.68

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Solution

The fourth proportional to 7,220.92, 9,965.48 and 4,077.68 is: 5,627.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,220.92 : 9,965.48 = 4,077.68 : x
  2. Step 2: Convert to fraction form
    7,220.92/9,965.48 = 4,077.68/x
  3. Step 3: Cross multiply
    7,220.92x = 9,965.48 × 4,077.68
  4. Step 4: Simplify right side
    7,220.92x = 40,636,038.49
  5. Step 5: Solve for x
    x = 40,636,038.49/7,220.92
  6. Step 6: Final answer
    x = 5,627.54

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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.