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Finding the Fourth Proportional to 3,875.96, 5,815.16 and 1,280.72

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Solution

The fourth proportional to 3,875.96, 5,815.16 and 1,280.72 is: 1,921.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.96 : 5,815.16 = 1,280.72 : x
  2. Step 2: Convert to fraction form
    3,875.96/5,815.16 = 1,280.72/x
  3. Step 3: Cross multiply
    3,875.96x = 5,815.16 × 1,280.72
  4. Step 4: Simplify right side
    3,875.96x = 7,447,556.24
  5. Step 5: Solve for x
    x = 7,447,556.24/3,875.96
  6. Step 6: Final answer
    x = 1,921.48

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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.