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Finding the Fourth Proportional to 2,585.93, 3,878.94 and 638.15

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Solution

The fourth proportional to 2,585.93, 3,878.94 and 638.15 is: 957.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.93 : 3,878.94 = 638.15 : x
  2. Step 2: Convert to fraction form
    2,585.93/3,878.94 = 638.15/x
  3. Step 3: Cross multiply
    2,585.93x = 3,878.94 × 638.15
  4. Step 4: Simplify right side
    2,585.93x = 2,475,326.17
  5. Step 5: Solve for x
    x = 2,475,326.17/2,585.93
  6. Step 6: Final answer
    x = 957.23

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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.