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Finding the Fourth Proportional to 8,175.84, 11,282 and 4,639.64

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Solution

The fourth proportional to 8,175.84, 11,282 and 4,639.64 is: 6,402.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175.84 : 11,282 = 4,639.64 : x
  2. Step 2: Convert to fraction form
    8,175.84/11,282 = 4,639.64/x
  3. Step 3: Cross multiply
    8,175.84x = 11,282 × 4,639.64
  4. Step 4: Simplify right side
    8,175.84x = 52,344,418.48
  5. Step 5: Solve for x
    x = 52,344,418.48/8,175.84
  6. Step 6: Final answer
    x = 6,402.33

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1.5x scale

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.