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Finding the Fourth Proportional to 12,610.05, 18,894.24 and 7,664.70

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Solution

The fourth proportional to 12,610.05, 18,894.24 and 7,664.70 is: 11,484.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,610.05 : 18,894.24 = 7,664.70 : x
  2. Step 2: Convert to fraction form
    12,610.05/18,894.24 = 7,664.70/x
  3. Step 3: Cross multiply
    12,610.05x = 18,894.24 × 7,664.70
  4. Step 4: Simplify right side
    12,610.05x = 144,818,681.33
  5. Step 5: Solve for x
    x = 144,818,681.33/12,610.05
  6. Step 6: Final answer
    x = 11,484.39

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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.