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Finding the Fourth Proportional to 30,948, 42,708.46 and 16,800.96

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Solution

The fourth proportional to 30,948, 42,708.46 and 16,800.96 is: 23,185.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,948 : 42,708.46 = 16,800.96 : x
  2. Step 2: Convert to fraction form
    30,948/42,708.46 = 16,800.96/x
  3. Step 3: Cross multiply
    30,948x = 42,708.46 × 16,800.96
  4. Step 4: Simplify right side
    30,948x = 717,543,128.12
  5. Step 5: Solve for x
    x = 717,543,128.12/30,948
  6. Step 6: Final answer
    x = 23,185.44

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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.