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Finding the Fourth Proportional to 3,875.76, 5,813.76 and 1,278.88

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Solution

The fourth proportional to 3,875.76, 5,813.76 and 1,278.88 is: 1,918.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.76 : 5,813.76 = 1,278.88 : x
  2. Step 2: Convert to fraction form
    3,875.76/5,813.76 = 1,278.88/x
  3. Step 3: Cross multiply
    3,875.76x = 5,813.76 × 1,278.88
  4. Step 4: Simplify right side
    3,875.76x = 7,435,101.39
  5. Step 5: Solve for x
    x = 7,435,101.39/3,875.76
  6. Step 6: Final answer
    x = 1,918.36

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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.