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Finding the Fourth Proportional to 12,607.60, 17,398.92 and 7,230.96

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Solution

The fourth proportional to 12,607.60, 17,398.92 and 7,230.96 is: 9,978.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,607.60 : 17,398.92 = 7,230.96 : x
  2. Step 2: Convert to fraction form
    12,607.60/17,398.92 = 7,230.96/x
  3. Step 3: Cross multiply
    12,607.60x = 17,398.92 × 7,230.96
  4. Step 4: Simplify right side
    12,607.60x = 125,810,894.56
  5. Step 5: Solve for x
    x = 125,810,894.56/12,607.60
  6. Step 6: Final answer
    x = 9,978.97

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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.