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Finding the Fourth Proportional to 5,214,997.52, 7,822,502.52 and 1,428,513.04

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Solution

The fourth proportional to 5,214,997.52, 7,822,502.52 and 1,428,513.04 is: 2,142,771.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214,997.52 : 7,822,502.52 = 1,428,513.04 : x
  2. Step 2: Convert to fraction form
    5,214,997.52/7,822,502.52 = 1,428,513.04/x
  3. Step 3: Cross multiply
    5,214,997.52x = 7,822,502.52 × 1,428,513.04
  4. Step 4: Simplify right side
    5,214,997.52x = 11,174,546,855,252.86
  5. Step 5: Solve for x
    x = 11,174,546,855,252.86/5,214,997.52
  6. Step 6: Final answer
    x = 2,142,771.27

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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.