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Finding the Fourth Proportional to 39,948, 55,128.24 and 22,284

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Solution

The fourth proportional to 39,948, 55,128.24 and 22,284 is: 30,751.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,948 : 55,128.24 = 22,284 : x
  2. Step 2: Convert to fraction form
    39,948/55,128.24 = 22,284/x
  3. Step 3: Cross multiply
    39,948x = 55,128.24 × 22,284
  4. Step 4: Simplify right side
    39,948x = 1,228,477,700.16
  5. Step 5: Solve for x
    x = 1,228,477,700.16/39,948
  6. Step 6: Final answer
    x = 30,751.92

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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.