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Finding the Fourth Proportional to 6,104.64, 8,430 and 5,777.28

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Solution

The fourth proportional to 6,104.64, 8,430 and 5,777.28 is: 7,977.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104.64 : 8,430 = 5,777.28 : x
  2. Step 2: Convert to fraction form
    6,104.64/8,430 = 5,777.28/x
  3. Step 3: Cross multiply
    6,104.64x = 8,430 × 5,777.28
  4. Step 4: Simplify right side
    6,104.64x = 48,702,470.40
  5. Step 5: Solve for x
    x = 48,702,470.40/6,104.64
  6. Step 6: Final answer
    x = 7,977.94

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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.