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Finding the Fourth Proportional to 16,155.76, 22,300.64 and 11,911.76

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Solution

The fourth proportional to 16,155.76, 22,300.64 and 11,911.76 is: 16,442.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,155.76 : 22,300.64 = 11,911.76 : x
  2. Step 2: Convert to fraction form
    16,155.76/22,300.64 = 11,911.76/x
  3. Step 3: Cross multiply
    16,155.76x = 22,300.64 × 11,911.76
  4. Step 4: Simplify right side
    16,155.76x = 265,639,871.53
  5. Step 5: Solve for x
    x = 265,639,871.53/16,155.76
  6. Step 6: Final answer
    x = 16,442.42

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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.