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Finding the Fourth Proportional to 30,854, 42,578.74 and 16,706.88

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Solution

The fourth proportional to 30,854, 42,578.74 and 16,706.88 is: 23,055.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,854 : 42,578.74 = 16,706.88 : x
  2. Step 2: Convert to fraction form
    30,854/42,578.74 = 16,706.88/x
  3. Step 3: Cross multiply
    30,854x = 42,578.74 × 16,706.88
  4. Step 4: Simplify right side
    30,854x = 711,357,899.73
  5. Step 5: Solve for x
    x = 711,357,899.73/30,854
  6. Step 6: Final answer
    x = 23,055.61

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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.