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Finding the Fourth Proportional to 5,616.86, 8,430.46 and 2,845.46

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Solution

The fourth proportional to 5,616.86, 8,430.46 and 2,845.46 is: 4,270.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.86 : 8,430.46 = 2,845.46 : x
  2. Step 2: Convert to fraction form
    5,616.86/8,430.46 = 2,845.46/x
  3. Step 3: Cross multiply
    5,616.86x = 8,430.46 × 2,845.46
  4. Step 4: Simplify right side
    5,616.86x = 23,988,522.48
  5. Step 5: Solve for x
    x = 23,988,522.48/5,616.86
  6. Step 6: Final answer
    x = 4,270.81

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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.