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Finding the Fourth Proportional to 16,527, 24,751.62 and 12,639

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Solution

The fourth proportional to 16,527, 24,751.62 and 12,639 is: 18,928.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,527 : 24,751.62 = 12,639 : x
  2. Step 2: Convert to fraction form
    16,527/24,751.62 = 12,639/x
  3. Step 3: Cross multiply
    16,527x = 24,751.62 × 12,639
  4. Step 4: Simplify right side
    16,527x = 312,835,725.18
  5. Step 5: Solve for x
    x = 312,835,725.18/16,527
  6. Step 6: Final answer
    x = 18,928.77

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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.