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Finding the Fourth Proportional to 49,377, 74,065.50 and 12,441

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Solution

The fourth proportional to 49,377, 74,065.50 and 12,441 is: 18,661.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,377 : 74,065.50 = 12,441 : x
  2. Step 2: Convert to fraction form
    49,377/74,065.50 = 12,441/x
  3. Step 3: Cross multiply
    49,377x = 74,065.50 × 12,441
  4. Step 4: Simplify right side
    49,377x = 921,448,885.50
  5. Step 5: Solve for x
    x = 921,448,885.50/49,377
  6. Step 6: Final answer
    x = 18,661.50

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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.