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Finding the Fourth Proportional to 3,846.61, 5,308.32 and 2,078.21

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Solution

The fourth proportional to 3,846.61, 5,308.32 and 2,078.21 is: 2,867.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.61 : 5,308.32 = 2,078.21 : x
  2. Step 2: Convert to fraction form
    3,846.61/5,308.32 = 2,078.21/x
  3. Step 3: Cross multiply
    3,846.61x = 5,308.32 × 2,078.21
  4. Step 4: Simplify right side
    3,846.61x = 11,031,803.71
  5. Step 5: Solve for x
    x = 11,031,803.71/3,846.61
  6. Step 6: Final answer
    x = 2,867.93

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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.