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Finding the Fourth Proportional to 5,708.33, 7,875 and 3,349.40

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Solution

The fourth proportional to 5,708.33, 7,875 and 3,349.40 is: 4,620.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.33 : 7,875 = 3,349.40 : x
  2. Step 2: Convert to fraction form
    5,708.33/7,875 = 3,349.40/x
  3. Step 3: Cross multiply
    5,708.33x = 7,875 × 3,349.40
  4. Step 4: Simplify right side
    5,708.33x = 26,376,525
  5. Step 5: Solve for x
    x = 26,376,525/5,708.33
  6. Step 6: Final answer
    x = 4,620.71

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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.