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Finding the Fourth Proportional to 43,780, 65,670 and 10,948

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Solution

The fourth proportional to 43,780, 65,670 and 10,948 is: 16,422

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,780 : 65,670 = 10,948 : x
  2. Step 2: Convert to fraction form
    43,780/65,670 = 10,948/x
  3. Step 3: Cross multiply
    43,780x = 65,670 × 10,948
  4. Step 4: Simplify right side
    43,780x = 718,955,160
  5. Step 5: Solve for x
    x = 718,955,160/43,780
  6. Step 6: Final answer
    x = 16,422

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.