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Finding the Fourth Proportional to 2,578.96, 3,868.32 and 631.06

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Solution

The fourth proportional to 2,578.96, 3,868.32 and 631.06 is: 946.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.96 : 3,868.32 = 631.06 : x
  2. Step 2: Convert to fraction form
    2,578.96/3,868.32 = 631.06/x
  3. Step 3: Cross multiply
    2,578.96x = 3,868.32 × 631.06
  4. Step 4: Simplify right side
    2,578.96x = 2,441,142.02
  5. Step 5: Solve for x
    x = 2,441,142.02/2,578.96
  6. Step 6: Final answer
    x = 946.56

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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.