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Finding the Fourth Proportional to 30,792.70, 42,493.90 and 16,645.54

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Solution

The fourth proportional to 30,792.70, 42,493.90 and 16,645.54 is: 22,970.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,792.70 : 42,493.90 = 16,645.54 : x
  2. Step 2: Convert to fraction form
    30,792.70/42,493.90 = 16,645.54/x
  3. Step 3: Cross multiply
    30,792.70x = 42,493.90 × 16,645.54
  4. Step 4: Simplify right side
    30,792.70x = 707,333,828.98
  5. Step 5: Solve for x
    x = 707,333,828.98/30,792.70
  6. Step 6: Final answer
    x = 22,970.83

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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.