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Finding the Fourth Proportional to 5,305.40, 7,966.60 and 4,218.80

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Solution

The fourth proportional to 5,305.40, 7,966.60 and 4,218.80 is: 6,334.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.40 : 7,966.60 = 4,218.80 : x
  2. Step 2: Convert to fraction form
    5,305.40/7,966.60 = 4,218.80/x
  3. Step 3: Cross multiply
    5,305.40x = 7,966.60 × 4,218.80
  4. Step 4: Simplify right side
    5,305.40x = 33,609,492.08
  5. Step 5: Solve for x
    x = 33,609,492.08/5,305.40
  6. Step 6: Final answer
    x = 6,334.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.