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Finding the Fourth Proportional to 27,880.92, 38,476.44 and 15,780.44

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Solution

The fourth proportional to 27,880.92, 38,476.44 and 15,780.44 is: 21,777.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,880.92 : 38,476.44 = 15,780.44 : x
  2. Step 2: Convert to fraction form
    27,880.92/38,476.44 = 15,780.44/x
  3. Step 3: Cross multiply
    27,880.92x = 38,476.44 × 15,780.44
  4. Step 4: Simplify right side
    27,880.92x = 607,175,152.83
  5. Step 5: Solve for x
    x = 607,175,152.83/27,880.92
  6. Step 6: Final answer
    x = 21,777.44

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1.5x scale

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.