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Finding the Fourth Proportional to 6,474.10, 8,935.09 and 4,378.10

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Solution

The fourth proportional to 6,474.10, 8,935.09 and 4,378.10 is: 6,042.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.10 : 8,935.09 = 4,378.10 : x
  2. Step 2: Convert to fraction form
    6,474.10/8,935.09 = 4,378.10/x
  3. Step 3: Cross multiply
    6,474.10x = 8,935.09 × 4,378.10
  4. Step 4: Simplify right side
    6,474.10x = 39,118,717.53
  5. Step 5: Solve for x
    x = 39,118,717.53/6,474.10
  6. Step 6: Final answer
    x = 6,042.34

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1.5x scale

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.