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Finding the Fourth Proportional to 7,221.64, 9,962.85 and 4,859.68

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Solution

The fourth proportional to 7,221.64, 9,962.85 and 4,859.68 is: 6,704.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.64 : 9,962.85 = 4,859.68 : x
  2. Step 2: Convert to fraction form
    7,221.64/9,962.85 = 4,859.68/x
  3. Step 3: Cross multiply
    7,221.64x = 9,962.85 × 4,859.68
  4. Step 4: Simplify right side
    7,221.64x = 48,416,262.89
  5. Step 5: Solve for x
    x = 48,416,262.89/7,221.64
  6. Step 6: Final answer
    x = 6,704.33

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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.