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Finding the Fourth Proportional to 5,638.60, 7,780.60 and 3,281.16

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Solution

The fourth proportional to 5,638.60, 7,780.60 and 3,281.16 is: 4,527.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.60 : 7,780.60 = 3,281.16 : x
  2. Step 2: Convert to fraction form
    5,638.60/7,780.60 = 3,281.16/x
  3. Step 3: Cross multiply
    5,638.60x = 7,780.60 × 3,281.16
  4. Step 4: Simplify right side
    5,638.60x = 25,529,393.50
  5. Step 5: Solve for x
    x = 25,529,393.50/5,638.60
  6. Step 6: Final answer
    x = 4,527.61

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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.