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Finding the Fourth Proportional to 16,984, 25,478.88 and 5,294.89

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Solution

The fourth proportional to 16,984, 25,478.88 and 5,294.89 is: 7,943.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,984 : 25,478.88 = 5,294.89 : x
  2. Step 2: Convert to fraction form
    16,984/25,478.88 = 5,294.89/x
  3. Step 3: Cross multiply
    16,984x = 25,478.88 × 5,294.89
  4. Step 4: Simplify right side
    16,984x = 134,907,866.92
  5. Step 5: Solve for x
    x = 134,907,866.92/16,984
  6. Step 6: Final answer
    x = 7,943.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.