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Finding the Fourth Proportional to 1,877.72, 2,803.14 and 1,631.75

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Solution

The fourth proportional to 1,877.72, 2,803.14 and 1,631.75 is: 2,435.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.72 : 2,803.14 = 1,631.75 : x
  2. Step 2: Convert to fraction form
    1,877.72/2,803.14 = 1,631.75/x
  3. Step 3: Cross multiply
    1,877.72x = 2,803.14 × 1,631.75
  4. Step 4: Simplify right side
    1,877.72x = 4,574,009.68
  5. Step 5: Solve for x
    x = 4,574,009.68/1,877.72
  6. Step 6: Final answer
    x = 2,435.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.