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Finding the Fourth Proportional to 3,925, 5,417.49 and 2,246.93

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Solution

The fourth proportional to 3,925, 5,417.49 and 2,246.93 is: 3,101.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,925 : 5,417.49 = 2,246.93 : x
  2. Step 2: Convert to fraction form
    3,925/5,417.49 = 2,246.93/x
  3. Step 3: Cross multiply
    3,925x = 5,417.49 × 2,246.93
  4. Step 4: Simplify right side
    3,925x = 12,172,720.81
  5. Step 5: Solve for x
    x = 12,172,720.81/3,925
  6. Step 6: Final answer
    x = 3,101.33

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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.