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Finding the Fourth Proportional to 8,175.60, 11,283.60 and 4,638.08

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Solution

The fourth proportional to 8,175.60, 11,283.60 and 4,638.08 is: 6,401.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175.60 : 11,283.60 = 4,638.08 : x
  2. Step 2: Convert to fraction form
    8,175.60/11,283.60 = 4,638.08/x
  3. Step 3: Cross multiply
    8,175.60x = 11,283.60 × 4,638.08
  4. Step 4: Simplify right side
    8,175.60x = 52,334,239.49
  5. Step 5: Solve for x
    x = 52,334,239.49/8,175.60
  6. Step 6: Final answer
    x = 6,401.27

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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.