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Finding the Fourth Proportional to 12,374.40, 18,578.08 and 7,184

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Solution

The fourth proportional to 12,374.40, 18,578.08 and 7,184 is: 10,785.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374.40 : 18,578.08 = 7,184 : x
  2. Step 2: Convert to fraction form
    12,374.40/18,578.08 = 7,184/x
  3. Step 3: Cross multiply
    12,374.40x = 18,578.08 × 7,184
  4. Step 4: Simplify right side
    12,374.40x = 133,464,926.72
  5. Step 5: Solve for x
    x = 133,464,926.72/12,374.40
  6. Step 6: Final answer
    x = 10,785.57

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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.