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Finding the Fourth Proportional to 12,673, 17,488.74 and 7,705

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Solution

The fourth proportional to 12,673, 17,488.74 and 7,705 is: 10,632.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,673 : 17,488.74 = 7,705 : x
  2. Step 2: Convert to fraction form
    12,673/17,488.74 = 7,705/x
  3. Step 3: Cross multiply
    12,673x = 17,488.74 × 7,705
  4. Step 4: Simplify right side
    12,673x = 134,750,741.70
  5. Step 5: Solve for x
    x = 134,750,741.70/12,673
  6. Step 6: Final answer
    x = 10,632.90

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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.