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Finding the Fourth Proportional to 3,072.61, 4,608.90 and 881.35

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Solution

The fourth proportional to 3,072.61, 4,608.90 and 881.35 is: 1,322.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.61 : 4,608.90 = 881.35 : x
  2. Step 2: Convert to fraction form
    3,072.61/4,608.90 = 881.35/x
  3. Step 3: Cross multiply
    3,072.61x = 4,608.90 × 881.35
  4. Step 4: Simplify right side
    3,072.61x = 4,062,054.02
  5. Step 5: Solve for x
    x = 4,062,054.02/3,072.61
  6. Step 6: Final answer
    x = 1,322.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.