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Finding the Fourth Proportional to 30,343.40, 41,877 and 16,916.84

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Solution

The fourth proportional to 30,343.40, 41,877 and 16,916.84 is: 23,346.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,343.40 : 41,877 = 16,916.84 : x
  2. Step 2: Convert to fraction form
    30,343.40/41,877 = 16,916.84/x
  3. Step 3: Cross multiply
    30,343.40x = 41,877 × 16,916.84
  4. Step 4: Simplify right side
    30,343.40x = 708,426,508.68
  5. Step 5: Solve for x
    x = 708,426,508.68/30,343.40
  6. Step 6: Final answer
    x = 23,346.97

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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.