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Finding the Fourth Proportional to 16,500.81, 22,762.81 and 11,787.83

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Solution

The fourth proportional to 16,500.81, 22,762.81 and 11,787.83 is: 16,261.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,500.81 : 22,762.81 = 11,787.83 : x
  2. Step 2: Convert to fraction form
    16,500.81/22,762.81 = 11,787.83/x
  3. Step 3: Cross multiply
    16,500.81x = 22,762.81 × 11,787.83
  4. Step 4: Simplify right side
    16,500.81x = 268,323,961.85
  5. Step 5: Solve for x
    x = 268,323,961.85/16,500.81
  6. Step 6: Final answer
    x = 16,261.26

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1.5x scale

Why These Related Problems?

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