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Finding the Fourth Proportional to 22,143.60, 30,557.08 and 12,582.24

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Solution

The fourth proportional to 22,143.60, 30,557.08 and 12,582.24 is: 17,362.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,143.60 : 30,557.08 = 12,582.24 : x
  2. Step 2: Convert to fraction form
    22,143.60/30,557.08 = 12,582.24/x
  3. Step 3: Cross multiply
    22,143.60x = 30,557.08 × 12,582.24
  4. Step 4: Simplify right side
    22,143.60x = 384,476,514.26
  5. Step 5: Solve for x
    x = 384,476,514.26/22,143.60
  6. Step 6: Final answer
    x = 17,362.87

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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.