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Finding the Fourth Proportional to 16,582.81, 22,883.12 and 9,412.87

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Solution

The fourth proportional to 16,582.81, 22,883.12 and 9,412.87 is: 12,989.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,582.81 : 22,883.12 = 9,412.87 : x
  2. Step 2: Convert to fraction form
    16,582.81/22,883.12 = 9,412.87/x
  3. Step 3: Cross multiply
    16,582.81x = 22,883.12 × 9,412.87
  4. Step 4: Simplify right side
    16,582.81x = 215,395,833.75
  5. Step 5: Solve for x
    x = 215,395,833.75/16,582.81
  6. Step 6: Final answer
    x = 12,989.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.