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Finding the Fourth Proportional to 6,316.88, 8,720 and 3,958.52

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Solution

The fourth proportional to 6,316.88, 8,720 and 3,958.52 is: 5,464.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.88 : 8,720 = 3,958.52 : x
  2. Step 2: Convert to fraction form
    6,316.88/8,720 = 3,958.52/x
  3. Step 3: Cross multiply
    6,316.88x = 8,720 × 3,958.52
  4. Step 4: Simplify right side
    6,316.88x = 34,518,294.40
  5. Step 5: Solve for x
    x = 34,518,294.40/6,316.88
  6. Step 6: Final answer
    x = 5,464.45

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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.