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Finding the Fourth Proportional to 4,522.64, 6,786 and 2,878.76

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Solution

The fourth proportional to 4,522.64, 6,786 and 2,878.76 is: 4,319.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,522.64 : 6,786 = 2,878.76 : x
  2. Step 2: Convert to fraction form
    4,522.64/6,786 = 2,878.76/x
  3. Step 3: Cross multiply
    4,522.64x = 6,786 × 2,878.76
  4. Step 4: Simplify right side
    4,522.64x = 19,535,265.36
  5. Step 5: Solve for x
    x = 19,535,265.36/4,522.64
  6. Step 6: Final answer
    x = 4,319.44

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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.