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Finding the Fourth Proportional to 7,188.89, 10,782.17 and 2,259.68

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Solution

The fourth proportional to 7,188.89, 10,782.17 and 2,259.68 is: 3,389.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.89 : 10,782.17 = 2,259.68 : x
  2. Step 2: Convert to fraction form
    7,188.89/10,782.17 = 2,259.68/x
  3. Step 3: Cross multiply
    7,188.89x = 10,782.17 × 2,259.68
  4. Step 4: Simplify right side
    7,188.89x = 24,364,188.70
  5. Step 5: Solve for x
    x = 24,364,188.70/7,188.89
  6. Step 6: Final answer
    x = 3,389.15

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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.