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Finding the Fourth Proportional to 35,254.64, 48,643.80 and 20,342

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Solution

The fourth proportional to 35,254.64, 48,643.80 and 20,342 is: 28,067.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,254.64 : 48,643.80 = 20,342 : x
  2. Step 2: Convert to fraction form
    35,254.64/48,643.80 = 20,342/x
  3. Step 3: Cross multiply
    35,254.64x = 48,643.80 × 20,342
  4. Step 4: Simplify right side
    35,254.64x = 989,512,179.60
  5. Step 5: Solve for x
    x = 989,512,179.60/35,254.64
  6. Step 6: Final answer
    x = 28,067.57

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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.