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Finding the Fourth Proportional to 3,847.52, 5,307.04 and 2,274.48

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Solution

The fourth proportional to 3,847.52, 5,307.04 and 2,274.48 is: 3,137.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.52 : 5,307.04 = 2,274.48 : x
  2. Step 2: Convert to fraction form
    3,847.52/5,307.04 = 2,274.48/x
  3. Step 3: Cross multiply
    3,847.52x = 5,307.04 × 2,274.48
  4. Step 4: Simplify right side
    3,847.52x = 12,070,756.34
  5. Step 5: Solve for x
    x = 12,070,756.34/3,847.52
  6. Step 6: Final answer
    x = 3,137.28

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Half scale
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Double scale
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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.