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Finding the Fourth Proportional to 5,270, 7,909.28 and 2,673.68

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Solution

The fourth proportional to 5,270, 7,909.28 and 2,673.68 is: 4,012.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270 : 7,909.28 = 2,673.68 : x
  2. Step 2: Convert to fraction form
    5,270/7,909.28 = 2,673.68/x
  3. Step 3: Cross multiply
    5,270x = 7,909.28 × 2,673.68
  4. Step 4: Simplify right side
    5,270x = 21,146,883.75
  5. Step 5: Solve for x
    x = 21,146,883.75/5,270
  6. Step 6: Final answer
    x = 4,012.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.