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Finding the Fourth Proportional to 3,775.92, 5,206.80 and 2,656.48

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Solution

The fourth proportional to 3,775.92, 5,206.80 and 2,656.48 is: 3,663.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.92 : 5,206.80 = 2,656.48 : x
  2. Step 2: Convert to fraction form
    3,775.92/5,206.80 = 2,656.48/x
  3. Step 3: Cross multiply
    3,775.92x = 5,206.80 × 2,656.48
  4. Step 4: Simplify right side
    3,775.92x = 13,831,760.06
  5. Step 5: Solve for x
    x = 13,831,760.06/3,775.92
  6. Step 6: Final answer
    x = 3,663.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.