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Finding the Fourth Proportional to 35,272.64, 48,668.64 and 20,360

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Solution

The fourth proportional to 35,272.64, 48,668.64 and 20,360 is: 28,092.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,272.64 : 48,668.64 = 20,360 : x
  2. Step 2: Convert to fraction form
    35,272.64/48,668.64 = 20,360/x
  3. Step 3: Cross multiply
    35,272.64x = 48,668.64 × 20,360
  4. Step 4: Simplify right side
    35,272.64x = 990,893,510.40
  5. Step 5: Solve for x
    x = 990,893,510.40/35,272.64
  6. Step 6: Final answer
    x = 28,092.41

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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.