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Finding the Fourth Proportional to 8,201, 12,357.38 and 7,305.88

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Solution

The fourth proportional to 8,201, 12,357.38 and 7,305.88 is: 11,008.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201 : 12,357.38 = 7,305.88 : x
  2. Step 2: Convert to fraction form
    8,201/12,357.38 = 7,305.88/x
  3. Step 3: Cross multiply
    8,201x = 12,357.38 × 7,305.88
  4. Step 4: Simplify right side
    8,201x = 90,281,535.39
  5. Step 5: Solve for x
    x = 90,281,535.39/8,201
  6. Step 6: Final answer
    x = 11,008.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.