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Finding the Fourth Proportional to 47,478.48, 65,520.18 and 27,328

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Solution

The fourth proportional to 47,478.48, 65,520.18 and 27,328 is: 37,712.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,478.48 : 65,520.18 = 27,328 : x
  2. Step 2: Convert to fraction form
    47,478.48/65,520.18 = 27,328/x
  3. Step 3: Cross multiply
    47,478.48x = 65,520.18 × 27,328
  4. Step 4: Simplify right side
    47,478.48x = 1,790,535,479.04
  5. Step 5: Solve for x
    x = 1,790,535,479.04/47,478.48
  6. Step 6: Final answer
    x = 37,712.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.