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Finding the Fourth Proportional to 27,430.72, 41,148 and 13,576

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Solution

The fourth proportional to 27,430.72, 41,148 and 13,576 is: 20,364.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,430.72 : 41,148 = 13,576 : x
  2. Step 2: Convert to fraction form
    27,430.72/41,148 = 13,576/x
  3. Step 3: Cross multiply
    27,430.72x = 41,148 × 13,576
  4. Step 4: Simplify right side
    27,430.72x = 558,625,248
  5. Step 5: Solve for x
    x = 558,625,248/27,430.72
  6. Step 6: Final answer
    x = 20,364.95

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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.