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Finding the Fourth Proportional to 5,297, 7,308.72 and 3,200.72

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Solution

The fourth proportional to 5,297, 7,308.72 and 3,200.72 is: 4,416.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297 : 7,308.72 = 3,200.72 : x
  2. Step 2: Convert to fraction form
    5,297/7,308.72 = 3,200.72/x
  3. Step 3: Cross multiply
    5,297x = 7,308.72 × 3,200.72
  4. Step 4: Simplify right side
    5,297x = 23,393,166.28
  5. Step 5: Solve for x
    x = 23,393,166.28/5,297
  6. Step 6: Final answer
    x = 4,416.30

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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.