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Finding the Fourth Proportional to 5,644.70, 8,457.81 and 5,428.70

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Solution

The fourth proportional to 5,644.70, 8,457.81 and 5,428.70 is: 8,134.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.70 : 8,457.81 = 5,428.70 : x
  2. Step 2: Convert to fraction form
    5,644.70/8,457.81 = 5,428.70/x
  3. Step 3: Cross multiply
    5,644.70x = 8,457.81 × 5,428.70
  4. Step 4: Simplify right side
    5,644.70x = 45,914,913.15
  5. Step 5: Solve for x
    x = 45,914,913.15/5,644.70
  6. Step 6: Final answer
    x = 8,134.16

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1.5x scale

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.