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Finding the Fourth Proportional to 39,730.88, 54,829.44 and 21,827

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Solution

The fourth proportional to 39,730.88, 54,829.44 and 21,827 is: 30,121.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,730.88 : 54,829.44 = 21,827 : x
  2. Step 2: Convert to fraction form
    39,730.88/54,829.44 = 21,827/x
  3. Step 3: Cross multiply
    39,730.88x = 54,829.44 × 21,827
  4. Step 4: Simplify right side
    39,730.88x = 1,196,762,186.88
  5. Step 5: Solve for x
    x = 1,196,762,186.88/39,730.88
  6. Step 6: Final answer
    x = 30,121.71

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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.