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Finding the Fourth Proportional to 6,457.70, 9,674.52 and 5,424.41

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Solution

The fourth proportional to 6,457.70, 9,674.52 and 5,424.41 is: 8,126.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.70 : 9,674.52 = 5,424.41 : x
  2. Step 2: Convert to fraction form
    6,457.70/9,674.52 = 5,424.41/x
  3. Step 3: Cross multiply
    6,457.70x = 9,674.52 × 5,424.41
  4. Step 4: Simplify right side
    6,457.70x = 52,478,563.03
  5. Step 5: Solve for x
    x = 52,478,563.03/6,457.70
  6. Step 6: Final answer
    x = 8,126.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.