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Finding the Fourth Proportional to 49,428, 74,142 and 12,492

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Solution

The fourth proportional to 49,428, 74,142 and 12,492 is: 18,738

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,428 : 74,142 = 12,492 : x
  2. Step 2: Convert to fraction form
    49,428/74,142 = 12,492/x
  3. Step 3: Cross multiply
    49,428x = 74,142 × 12,492
  4. Step 4: Simplify right side
    49,428x = 926,181,864
  5. Step 5: Solve for x
    x = 926,181,864/49,428
  6. Step 6: Final answer
    x = 18,738

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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.