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Finding the Fourth Proportional to 6,265.44, 8,643.60 and 3,780

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Solution

The fourth proportional to 6,265.44, 8,643.60 and 3,780 is: 5,214.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.44 : 8,643.60 = 3,780 : x
  2. Step 2: Convert to fraction form
    6,265.44/8,643.60 = 3,780/x
  3. Step 3: Cross multiply
    6,265.44x = 8,643.60 × 3,780
  4. Step 4: Simplify right side
    6,265.44x = 32,672,808
  5. Step 5: Solve for x
    x = 32,672,808/6,265.44
  6. Step 6: Final answer
    x = 5,214.77

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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.