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Finding the Fourth Proportional to 35,283.88, 48,683.46 and 20,377

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Solution

The fourth proportional to 35,283.88, 48,683.46 and 20,377 is: 28,115.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,283.88 : 48,683.46 = 20,377 : x
  2. Step 2: Convert to fraction form
    35,283.88/48,683.46 = 20,377/x
  3. Step 3: Cross multiply
    35,283.88x = 48,683.46 × 20,377
  4. Step 4: Simplify right side
    35,283.88x = 992,022,864.42
  5. Step 5: Solve for x
    x = 992,022,864.42/35,283.88
  6. Step 6: Final answer
    x = 28,115.47

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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.