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Finding the Fourth Proportional to 30,787.84, 42,475.24 and 17,356.02

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Solution

The fourth proportional to 30,787.84, 42,475.24 and 17,356.02 is: 23,944.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,787.84 : 42,475.24 = 17,356.02 : x
  2. Step 2: Convert to fraction form
    30,787.84/42,475.24 = 17,356.02/x
  3. Step 3: Cross multiply
    30,787.84x = 42,475.24 × 17,356.02
  4. Step 4: Simplify right side
    30,787.84x = 737,201,114.94
  5. Step 5: Solve for x
    x = 737,201,114.94/30,787.84
  6. Step 6: Final answer
    x = 23,944.55

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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.