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Finding the Fourth Proportional to 4,107, 5,665.84 and 3,117

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Solution

The fourth proportional to 4,107, 5,665.84 and 3,117 is: 4,300.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107 : 5,665.84 = 3,117 : x
  2. Step 2: Convert to fraction form
    4,107/5,665.84 = 3,117/x
  3. Step 3: Cross multiply
    4,107x = 5,665.84 × 3,117
  4. Step 4: Simplify right side
    4,107x = 17,660,423.28
  5. Step 5: Solve for x
    x = 17,660,423.28/4,107
  6. Step 6: Final answer
    x = 4,300.08

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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.