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Finding the Fourth Proportional to 6,409.87, 8,849.62 and 4,914.91

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Solution

The fourth proportional to 6,409.87, 8,849.62 and 4,914.91 is: 6,785.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.87 : 8,849.62 = 4,914.91 : x
  2. Step 2: Convert to fraction form
    6,409.87/8,849.62 = 4,914.91/x
  3. Step 3: Cross multiply
    6,409.87x = 8,849.62 × 4,914.91
  4. Step 4: Simplify right side
    6,409.87x = 43,495,103.04
  5. Step 5: Solve for x
    x = 43,495,103.04/6,409.87
  6. Step 6: Final answer
    x = 6,785.65

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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.