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Finding the Fourth Proportional to 12,257, 18,386.62 and 4,358.76

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Solution

The fourth proportional to 12,257, 18,386.62 and 4,358.76 is: 6,538.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,257 : 18,386.62 = 4,358.76 : x
  2. Step 2: Convert to fraction form
    12,257/18,386.62 = 4,358.76/x
  3. Step 3: Cross multiply
    12,257x = 18,386.62 × 4,358.76
  4. Step 4: Simplify right side
    12,257x = 80,142,863.79
  5. Step 5: Solve for x
    x = 80,142,863.79/12,257
  6. Step 6: Final answer
    x = 6,538.54

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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.