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Finding the Fourth Proportional to 5,371.64, 7,442.70 and 5,255

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Solution

The fourth proportional to 5,371.64, 7,442.70 and 5,255 is: 7,281.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,371.64 : 7,442.70 = 5,255 : x
  2. Step 2: Convert to fraction form
    5,371.64/7,442.70 = 5,255/x
  3. Step 3: Cross multiply
    5,371.64x = 7,442.70 × 5,255
  4. Step 4: Simplify right side
    5,371.64x = 39,111,388.50
  5. Step 5: Solve for x
    x = 39,111,388.50/5,371.64
  6. Step 6: Final answer
    x = 7,281.09

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.