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Finding the Fourth Proportional to 5,720, 7,886.88 and 3,853.76

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Solution

The fourth proportional to 5,720, 7,886.88 and 3,853.76 is: 5,313.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720 : 7,886.88 = 3,853.76 : x
  2. Step 2: Convert to fraction form
    5,720/7,886.88 = 3,853.76/x
  3. Step 3: Cross multiply
    5,720x = 7,886.88 × 3,853.76
  4. Step 4: Simplify right side
    5,720x = 30,394,142.67
  5. Step 5: Solve for x
    x = 30,394,142.67/5,720
  6. Step 6: Final answer
    x = 5,313.66

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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.