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Finding the Fourth Proportional to 2,325.84, 3,489.12 and 786.72

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Solution

The fourth proportional to 2,325.84, 3,489.12 and 786.72 is: 1,180.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.84 : 3,489.12 = 786.72 : x
  2. Step 2: Convert to fraction form
    2,325.84/3,489.12 = 786.72/x
  3. Step 3: Cross multiply
    2,325.84x = 3,489.12 × 786.72
  4. Step 4: Simplify right side
    2,325.84x = 2,744,960.49
  5. Step 5: Solve for x
    x = 2,744,960.49/2,325.84
  6. Step 6: Final answer
    x = 1,180.20

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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.