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Finding the Fourth Proportional to 30,872.58, 42,601.62 and 17,445

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Solution

The fourth proportional to 30,872.58, 42,601.62 and 17,445 is: 24,072.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,872.58 : 42,601.62 = 17,445 : x
  2. Step 2: Convert to fraction form
    30,872.58/42,601.62 = 17,445/x
  3. Step 3: Cross multiply
    30,872.58x = 42,601.62 × 17,445
  4. Step 4: Simplify right side
    30,872.58x = 743,185,260.90
  5. Step 5: Solve for x
    x = 743,185,260.90/30,872.58
  6. Step 6: Final answer
    x = 24,072.66

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1.5x scale

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.