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Finding the Fourth Proportional to 7,157.60, 10,708.80 and 4,383.68

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Solution

The fourth proportional to 7,157.60, 10,708.80 and 4,383.68 is: 6,558.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.60 : 10,708.80 = 4,383.68 : x
  2. Step 2: Convert to fraction form
    7,157.60/10,708.80 = 4,383.68/x
  3. Step 3: Cross multiply
    7,157.60x = 10,708.80 × 4,383.68
  4. Step 4: Simplify right side
    7,157.60x = 46,943,952.38
  5. Step 5: Solve for x
    x = 46,943,952.38/7,157.60
  6. Step 6: Final answer
    x = 6,558.62

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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.