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Finding the Fourth Proportional to 2,386.43, 3,580.94 and 925.64

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Solution

The fourth proportional to 2,386.43, 3,580.94 and 925.64 is: 1,388.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.43 : 3,580.94 = 925.64 : x
  2. Step 2: Convert to fraction form
    2,386.43/3,580.94 = 925.64/x
  3. Step 3: Cross multiply
    2,386.43x = 3,580.94 × 925.64
  4. Step 4: Simplify right side
    2,386.43x = 3,314,645.71
  5. Step 5: Solve for x
    x = 3,314,645.71/2,386.43
  6. Step 6: Final answer
    x = 1,388.96

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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.