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Finding the Fourth Proportional to 6,457.42, 8,834.57 and 6,429.78

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Solution

The fourth proportional to 6,457.42, 8,834.57 and 6,429.78 is: 8,796.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.42 : 8,834.57 = 6,429.78 : x
  2. Step 2: Convert to fraction form
    6,457.42/8,834.57 = 6,429.78/x
  3. Step 3: Cross multiply
    6,457.42x = 8,834.57 × 6,429.78
  4. Step 4: Simplify right side
    6,457.42x = 56,804,333.46
  5. Step 5: Solve for x
    x = 56,804,333.46/6,457.42
  6. Step 6: Final answer
    x = 8,796.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.