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Finding the Fourth Proportional to 6,342.77, 8,749.51 and 3,689.89

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Solution

The fourth proportional to 6,342.77, 8,749.51 and 3,689.89 is: 5,090.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.77 : 8,749.51 = 3,689.89 : x
  2. Step 2: Convert to fraction form
    6,342.77/8,749.51 = 3,689.89/x
  3. Step 3: Cross multiply
    6,342.77x = 8,749.51 × 3,689.89
  4. Step 4: Simplify right side
    6,342.77x = 32,284,698.36
  5. Step 5: Solve for x
    x = 32,284,698.36/6,342.77
  6. Step 6: Final answer
    x = 5,090.00

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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.