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Finding the Fourth Proportional to 5,009.70, 7,515.78 and 1,722.84

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Solution

The fourth proportional to 5,009.70, 7,515.78 and 1,722.84 is: 2,584.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,009.70 : 7,515.78 = 1,722.84 : x
  2. Step 2: Convert to fraction form
    5,009.70/7,515.78 = 1,722.84/x
  3. Step 3: Cross multiply
    5,009.70x = 7,515.78 × 1,722.84
  4. Step 4: Simplify right side
    5,009.70x = 12,948,486.42
  5. Step 5: Solve for x
    x = 12,948,486.42/5,009.70
  6. Step 6: Final answer
    x = 2,584.68

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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.