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Finding the Fourth Proportional to 49,799.76, 68,724 and 28,578.48

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Solution

The fourth proportional to 49,799.76, 68,724 and 28,578.48 is: 39,438.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,799.76 : 68,724 = 28,578.48 : x
  2. Step 2: Convert to fraction form
    49,799.76/68,724 = 28,578.48/x
  3. Step 3: Cross multiply
    49,799.76x = 68,724 × 28,578.48
  4. Step 4: Simplify right side
    49,799.76x = 1,964,027,459.52
  5. Step 5: Solve for x
    x = 1,964,027,459.52/49,799.76
  6. Step 6: Final answer
    x = 39,438.49

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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.