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Finding the Fourth Proportional to 5,708.78, 7,881.72 and 4,379.94

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Solution

The fourth proportional to 5,708.78, 7,881.72 and 4,379.94 is: 6,047.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.78 : 7,881.72 = 4,379.94 : x
  2. Step 2: Convert to fraction form
    5,708.78/7,881.72 = 4,379.94/x
  3. Step 3: Cross multiply
    5,708.78x = 7,881.72 × 4,379.94
  4. Step 4: Simplify right side
    5,708.78x = 34,521,460.70
  5. Step 5: Solve for x
    x = 34,521,460.70/5,708.78
  6. Step 6: Final answer
    x = 6,047.08

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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.