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Finding the Fourth Proportional to 12,386, 18,581.88 and 4,178

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Solution

The fourth proportional to 12,386, 18,581.88 and 4,178 is: 6,267.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,386 : 18,581.88 = 4,178 : x
  2. Step 2: Convert to fraction form
    12,386/18,581.88 = 4,178/x
  3. Step 3: Cross multiply
    12,386x = 18,581.88 × 4,178
  4. Step 4: Simplify right side
    12,386x = 77,635,094.64
  5. Step 5: Solve for x
    x = 77,635,094.64/12,386
  6. Step 6: Final answer
    x = 6,267.97

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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.