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Finding the Fourth Proportional to 5,317,902.81, 7,978,864.10 and 2,081,753.01

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Solution

The fourth proportional to 5,317,902.81, 7,978,864.10 and 2,081,753.01 is: 3,123,416.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,317,902.81 : 7,978,864.10 = 2,081,753.01 : x
  2. Step 2: Convert to fraction form
    5,317,902.81/7,978,864.10 = 2,081,753.01/x
  3. Step 3: Cross multiply
    5,317,902.81x = 7,978,864.10 × 2,081,753.01
  4. Step 4: Simplify right side
    5,317,902.81x = 16,610,024,346,147.18
  5. Step 5: Solve for x
    x = 16,610,024,346,147.18/5,317,902.81
  6. Step 6: Final answer
    x = 3,123,416.31

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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.