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Finding the Fourth Proportional to 5,265.78, 7,894.01 and 2,148.39

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Solution

The fourth proportional to 5,265.78, 7,894.01 and 2,148.39 is: 3,220.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.78 : 7,894.01 = 2,148.39 : x
  2. Step 2: Convert to fraction form
    5,265.78/7,894.01 = 2,148.39/x
  3. Step 3: Cross multiply
    5,265.78x = 7,894.01 × 2,148.39
  4. Step 4: Simplify right side
    5,265.78x = 16,959,412.14
  5. Step 5: Solve for x
    x = 16,959,412.14/5,265.78
  6. Step 6: Final answer
    x = 3,220.68

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1.5x scale

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.