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Finding the Fourth Proportional to 6,345, 8,754.08 and 4,108.59

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Solution

The fourth proportional to 6,345, 8,754.08 and 4,108.59 is: 5,668.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345 : 8,754.08 = 4,108.59 : x
  2. Step 2: Convert to fraction form
    6,345/8,754.08 = 4,108.59/x
  3. Step 3: Cross multiply
    6,345x = 8,754.08 × 4,108.59
  4. Step 4: Simplify right side
    6,345x = 35,966,905.00
  5. Step 5: Solve for x
    x = 35,966,905.00/6,345
  6. Step 6: Final answer
    x = 5,668.54

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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.