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Finding the Fourth Proportional to 30,113, 41,555.94 and 16,865

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Solution

The fourth proportional to 30,113, 41,555.94 and 16,865 is: 23,273.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,113 : 41,555.94 = 16,865 : x
  2. Step 2: Convert to fraction form
    30,113/41,555.94 = 16,865/x
  3. Step 3: Cross multiply
    30,113x = 41,555.94 × 16,865
  4. Step 4: Simplify right side
    30,113x = 700,840,928.10
  5. Step 5: Solve for x
    x = 700,840,928.10/30,113
  6. Step 6: Final answer
    x = 23,273.70

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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.