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Finding the Fourth Proportional to 1,877.78, 2,589.32 and 1,597.57

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Solution

The fourth proportional to 1,877.78, 2,589.32 and 1,597.57 is: 2,202.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.78 : 2,589.32 = 1,597.57 : x
  2. Step 2: Convert to fraction form
    1,877.78/2,589.32 = 1,597.57/x
  3. Step 3: Cross multiply
    1,877.78x = 2,589.32 × 1,597.57
  4. Step 4: Simplify right side
    1,877.78x = 4,136,623.05
  5. Step 5: Solve for x
    x = 4,136,623.05/1,877.78
  6. Step 6: Final answer
    x = 2,202.93

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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.