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Finding the Fourth Proportional to 6,406.98, 8,834.49 and 5,253.68

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Solution

The fourth proportional to 6,406.98, 8,834.49 and 5,253.68 is: 7,244.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.98 : 8,834.49 = 5,253.68 : x
  2. Step 2: Convert to fraction form
    6,406.98/8,834.49 = 5,253.68/x
  3. Step 3: Cross multiply
    6,406.98x = 8,834.49 × 5,253.68
  4. Step 4: Simplify right side
    6,406.98x = 46,413,539.25
  5. Step 5: Solve for x
    x = 46,413,539.25/6,406.98
  6. Step 6: Final answer
    x = 7,244.21

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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.