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Finding the Fourth Proportional to 6,127.64, 8,455.48 and 3,475

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Solution

The fourth proportional to 6,127.64, 8,455.48 and 3,475 is: 4,795.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,127.64 : 8,455.48 = 3,475 : x
  2. Step 2: Convert to fraction form
    6,127.64/8,455.48 = 3,475/x
  3. Step 3: Cross multiply
    6,127.64x = 8,455.48 × 3,475
  4. Step 4: Simplify right side
    6,127.64x = 29,382,793
  5. Step 5: Solve for x
    x = 29,382,793/6,127.64
  6. Step 6: Final answer
    x = 4,795.12

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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.