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Finding the Fourth Proportional to 27,148.40, 40,703.40 and 12,364.40

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Solution

The fourth proportional to 27,148.40, 40,703.40 and 12,364.40 is: 18,537.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,148.40 : 40,703.40 = 12,364.40 : x
  2. Step 2: Convert to fraction form
    27,148.40/40,703.40 = 12,364.40/x
  3. Step 3: Cross multiply
    27,148.40x = 40,703.40 × 12,364.40
  4. Step 4: Simplify right side
    27,148.40x = 503,273,118.96
  5. Step 5: Solve for x
    x = 503,273,118.96/27,148.40
  6. Step 6: Final answer
    x = 18,537.86

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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.