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Finding the Fourth Proportional to 28,970, 39,978.60 and 16,394.78

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Solution

The fourth proportional to 28,970, 39,978.60 and 16,394.78 is: 22,624.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,970 : 39,978.60 = 16,394.78 : x
  2. Step 2: Convert to fraction form
    28,970/39,978.60 = 16,394.78/x
  3. Step 3: Cross multiply
    28,970x = 39,978.60 × 16,394.78
  4. Step 4: Simplify right side
    28,970x = 655,440,351.71
  5. Step 5: Solve for x
    x = 655,440,351.71/28,970
  6. Step 6: Final answer
    x = 22,624.80

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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.