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Finding the Fourth Proportional to 5,077.60, 7,605.60 and 3,133.60

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Solution

The fourth proportional to 5,077.60, 7,605.60 and 3,133.60 is: 4,693.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.60 : 7,605.60 = 3,133.60 : x
  2. Step 2: Convert to fraction form
    5,077.60/7,605.60 = 3,133.60/x
  3. Step 3: Cross multiply
    5,077.60x = 7,605.60 × 3,133.60
  4. Step 4: Simplify right side
    5,077.60x = 23,832,908.16
  5. Step 5: Solve for x
    x = 23,832,908.16/5,077.60
  6. Step 6: Final answer
    x = 4,693.73

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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.