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Finding the Fourth Proportional to 12,458.96, 17,194.44 and 7,490

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Solution

The fourth proportional to 12,458.96, 17,194.44 and 7,490 is: 10,336.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,458.96 : 17,194.44 = 7,490 : x
  2. Step 2: Convert to fraction form
    12,458.96/17,194.44 = 7,490/x
  3. Step 3: Cross multiply
    12,458.96x = 17,194.44 × 7,490
  4. Step 4: Simplify right side
    12,458.96x = 128,786,355.60
  5. Step 5: Solve for x
    x = 128,786,355.60/12,458.96
  6. Step 6: Final answer
    x = 10,336.85

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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.