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Finding the Fourth Proportional to 12,228, 18,341.88 and 3,461.76

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Solution

The fourth proportional to 12,228, 18,341.88 and 3,461.76 is: 5,192.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,228 : 18,341.88 = 3,461.76 : x
  2. Step 2: Convert to fraction form
    12,228/18,341.88 = 3,461.76/x
  3. Step 3: Cross multiply
    12,228x = 18,341.88 × 3,461.76
  4. Step 4: Simplify right side
    12,228x = 63,495,186.51
  5. Step 5: Solve for x
    x = 63,495,186.51/12,228
  6. Step 6: Final answer
    x = 5,192.61

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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.