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Finding the Fourth Proportional to 12,138, 18,214.08 and 5,117.58

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Solution

The fourth proportional to 12,138, 18,214.08 and 5,117.58 is: 7,679.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138 : 18,214.08 = 5,117.58 : x
  2. Step 2: Convert to fraction form
    12,138/18,214.08 = 5,117.58/x
  3. Step 3: Cross multiply
    12,138x = 18,214.08 × 5,117.58
  4. Step 4: Simplify right side
    12,138x = 93,211,985.94
  5. Step 5: Solve for x
    x = 93,211,985.94/12,138
  6. Step 6: Final answer
    x = 7,679.35

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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.