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Finding the Fourth Proportional to 2,585.68, 3,878.46 and 637.90

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Solution

The fourth proportional to 2,585.68, 3,878.46 and 637.90 is: 956.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.68 : 3,878.46 = 637.90 : x
  2. Step 2: Convert to fraction form
    2,585.68/3,878.46 = 637.90/x
  3. Step 3: Cross multiply
    2,585.68x = 3,878.46 × 637.90
  4. Step 4: Simplify right side
    2,585.68x = 2,474,069.63
  5. Step 5: Solve for x
    x = 2,474,069.63/2,585.68
  6. Step 6: Final answer
    x = 956.84

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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.