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Finding the Fourth Proportional to 27,603.76, 41,407.23 and 7,880.80

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Solution

The fourth proportional to 27,603.76, 41,407.23 and 7,880.80 is: 11,821.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,603.76 : 41,407.23 = 7,880.80 : x
  2. Step 2: Convert to fraction form
    27,603.76/41,407.23 = 7,880.80/x
  3. Step 3: Cross multiply
    27,603.76x = 41,407.23 × 7,880.80
  4. Step 4: Simplify right side
    27,603.76x = 326,322,098.18
  5. Step 5: Solve for x
    x = 326,322,098.18/27,603.76
  6. Step 6: Final answer
    x = 11,821.65

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1.5x scale

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.