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Finding the Fourth Proportional to 12,659.77, 18,989.70 and 7,462

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Solution

The fourth proportional to 12,659.77, 18,989.70 and 7,462 is: 11,193.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,659.77 : 18,989.70 = 7,462 : x
  2. Step 2: Convert to fraction form
    12,659.77/18,989.70 = 7,462/x
  3. Step 3: Cross multiply
    12,659.77x = 18,989.70 × 7,462
  4. Step 4: Simplify right side
    12,659.77x = 141,701,141.40
  5. Step 5: Solve for x
    x = 141,701,141.40/12,659.77
  6. Step 6: Final answer
    x = 11,193.03

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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.