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Finding the Fourth Proportional to 2,892.16, 4,337.44 and 812.02

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Solution

The fourth proportional to 2,892.16, 4,337.44 and 812.02 is: 1,217.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.16 : 4,337.44 = 812.02 : x
  2. Step 2: Convert to fraction form
    2,892.16/4,337.44 = 812.02/x
  3. Step 3: Cross multiply
    2,892.16x = 4,337.44 × 812.02
  4. Step 4: Simplify right side
    2,892.16x = 3,522,088.03
  5. Step 5: Solve for x
    x = 3,522,088.03/2,892.16
  6. Step 6: Final answer
    x = 1,217.81

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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.