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Finding the Fourth Proportional to 13,046.40, 18,005.76 and 8,856

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Solution

The fourth proportional to 13,046.40, 18,005.76 and 8,856 is: 12,222.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,046.40 : 18,005.76 = 8,856 : x
  2. Step 2: Convert to fraction form
    13,046.40/18,005.76 = 8,856/x
  3. Step 3: Cross multiply
    13,046.40x = 18,005.76 × 8,856
  4. Step 4: Simplify right side
    13,046.40x = 159,459,010.56
  5. Step 5: Solve for x
    x = 159,459,010.56/13,046.40
  6. Step 6: Final answer
    x = 12,222.45

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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.