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Finding the Fourth Proportional to 29,712.83, 44,569.61 and 9,991.31

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Solution

The fourth proportional to 29,712.83, 44,569.61 and 9,991.31 is: 14,987.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,712.83 : 44,569.61 = 9,991.31 : x
  2. Step 2: Convert to fraction form
    29,712.83/44,569.61 = 9,991.31/x
  3. Step 3: Cross multiply
    29,712.83x = 44,569.61 × 9,991.31
  4. Step 4: Simplify right side
    29,712.83x = 445,308,740.13
  5. Step 5: Solve for x
    x = 445,308,740.13/29,712.83
  6. Step 6: Final answer
    x = 14,987.09

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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.