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Finding the Fourth Proportional to 12,317.76, 17,000.42 and 7,843.46

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Solution

The fourth proportional to 12,317.76, 17,000.42 and 7,843.46 is: 10,825.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,317.76 : 17,000.42 = 7,843.46 : x
  2. Step 2: Convert to fraction form
    12,317.76/17,000.42 = 7,843.46/x
  3. Step 3: Cross multiply
    12,317.76x = 17,000.42 × 7,843.46
  4. Step 4: Simplify right side
    12,317.76x = 133,341,990.03
  5. Step 5: Solve for x
    x = 133,341,990.03/12,317.76
  6. Step 6: Final answer
    x = 10,825.18

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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.