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Finding the Fourth Proportional to 3,989,214.77, 5,983,821.89 and 997,398.77

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Solution

The fourth proportional to 3,989,214.77, 5,983,821.89 and 997,398.77 is: 1,496,098.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989,214.77 : 5,983,821.89 = 997,398.77 : x
  2. Step 2: Convert to fraction form
    3,989,214.77/5,983,821.89 = 997,398.77/x
  3. Step 3: Cross multiply
    3,989,214.77x = 5,983,821.89 × 997,398.77
  4. Step 4: Simplify right side
    3,989,214.77x = 5,968,256,587,998.08
  5. Step 5: Solve for x
    x = 5,968,256,587,998.08/3,989,214.77
  6. Step 6: Final answer
    x = 1,496,098.09

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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.